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“学术讲座”课程报告报名、名单公示通知（2020级）

来源：数学科学学院发布时间：2023-10-15 8707

63、春学期第八周讲座二

报告题目：The rigidity of hyperbolic polyhedral metrics for 3-manifolds

报告信息来源：中国科学院数学与系统科学研究院

报告人 Speaker：冯可（电子科技大学）

时间 Date time：2024-04-19 10：00-11：00

地点 Venue：腾讯会议：866-1301-8136

报告摘要 Abstract：

In this talk, I will introduce some fundamental concepts of hyperbolic polyhedral metric. Further, I will show the rigidity of hyperbolic polyhedral metrics on 3-manifolds which are isometric gluing of decorated hyperbolic tetrahedrons. This is joint work with Huabin Ge and Chunlei Liu.

报名链接：https://form.zju.edu.cn/#/dform/genericForm/cpxQsnNW

进入会议后修改名称为【真实姓名】并且截图，图中包含个人姓名，会议结束后填写签到链接并且上传截图用于签到。请尽快入会，会议超过给定上限可能无法进入。

62、春学期第八周讲座一

报告题目：Asymptotics and scattering for the massive Maxwell-Klein-Gordon equation

报告信息来源：中山大学数学学院

报告人 Speaker：陈炫涛（Johns Hopkins University）

时间 Date time：2024-04-16 9：00-10：00

地点 Venue：腾讯会议：152-256-533

报告摘要 Abstract：

We study the asymptotic behavior and the scattering from infinity problem for the massive Maxwell-Klein-Gordon system in the Lorenz gauge, which were previously only studied for the massless system. For a general class of initial data, in particular of nonzero charge, we derive the precise asymptotic behaviors of the solution. Moreover, we derive a formula for the charge at infinite time, which shows that the charge is concentrated at timelike infinity, a phenomenon drastically different from the massless case. After deriving the asymptotics, we prove the scattering from infinity by constructing backward solutions given the scattering data. We show that one can determine the correct charge contribution using the information at timelike infinity, which is important for us to obtain solutions not only for the reduced equations in the Lorenz gauge but also for the original physical system.

报名链接：https://form.zju.edu.cn/#/dform/genericForm/bBEcui8C

61、春学期第七周讲座五

报告题目：4D/2D duality and representation theory

报告信息来源：星空体育官方网站

报告人 Speaker： Tomoyuki Arakawa（京都大学数理解析研究所）

时间 Date time：2024-04-12 16：00开始

地点 Venue：数学科学学院2楼报告厅(海纳苑2幢210室)

报告摘要 Abstract：

In this lecture l will talk about some recent exciting developments that relate representations of some algebras (vertex algebras) with theoretical physics (4 dimensional N=2 super conformal field theory) and geometry (symplectic singularities).

报告人简介：

Tomoyuki Arakawa(荒川知幸)，京都大学数理解析研究所教授。主要研究领域为表示论、顶点算子代数与数学物理，相关成果发表在Ann.Math.，Invent.Math.Duke Math.J., J. Eur.Math.Soc.等多个顶级数学杂志，2018年在国际数学家大会上作45分钟报告。曾先后获得JSPS Young Science Prize,MSJ Algebra Prize,MSJAutumn Prize, JSPS Prize for Science and Technology等奖项。

报名链接：https://form.zju.edu.cn/#/dform/genericForm/rxe2CqGW

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60、春学期第七周讲座四

报告题目：Calderon commutators associated with the fractional differentiation

报告信息来源：星空体育官方网站

报告人 Speaker：丁勇（北京师范大学）

时间 Date time：2024-04-12 14：30开始

地点 Venue：数学科学学院2楼报告厅(海纳苑2幢210室)

报告摘要 Abstract：

经典的Calderon交换子产生于Hilbert变换和微分算子的复合，它在调和分析和PDE中有重要应用。我们将给出一类由分数阶微分算子与奇异积分算子复合生成的Calderon交换子的在不同函数空间上有界性的特征。

报告人简介：

丁勇，理学博士，北京师范大学二级教授，博士生导师。从事基础数学专业的教学与研究。主要研究方向为调和分析及其应用，是国内调和分析领域的领军人物之一。目前已在国际顶级数学杂志《JFA》、《Analysis&PDE》、《Trans.ofAMS》、《Revista Matematica Iberoamericana》等杂志上发表(含合作)学术论文百余篇，在新加坡世界科学出版社出版学术专著1部。已主持并完成国家自然科学基金重点项目1项、面上项目和教育部博士点基金项目多项。曾应邀担任美国Pittsburgh大学和美国Kansas大学访问教授，台湾中央大学客座教授，多次应邀在国内外召开的国际学术会议上做大会特邀报告，是唯一一位被邀请在西班牙召开的2006年国际数学家大会调和分析卫星会议上作50分钟报告的中国学者。曾应邀访问过美国、德国、法国、西班牙、日本、韩国等国及中国台湾、澳门地区20余所大学数学系和研究所。曾担任过2002年国际数学家大会调和分析卫星会议等十几个调和分析及其应用学术会议的学术委员会或组织委员会成员。担任过国家科技奖评审专家。2003年获得教育部自然科学奖二等奖。研究生教材《现代分析基础》入选2011年北京市高等教育精品教材。2013年获北京市高等教育教学成果二等奖。已指导了近20位博士和硕士，其中已有4位任教授，1位获2009年全国百篇优秀博士论文提名奖， 2位入选教育部新世纪优秀人才计划，1位入选2016年中组部青年千人计划和2023年国家杰出青年基金获得者，1位入选2023年国家优秀青年基金获得者。

报名链接：https://form.zju.edu.cn/#/dform/genericForm/WoQ2nhfs

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59、春学期第七周讲座三

报告题目：Nearly-Linear Gradient-Based Algorithms for Decomposable Convex Optimization

报告信息来源：北京大学数学科学学院

报告人 Speaker：忻宇辰（北京大学）

时间 Date time：2024-04-11 16：00-17：00

地点 Venue：腾讯会议：446-9399-1513

报告摘要 Abstract：

Many fundamental problems in machine learning are abstractly captured by decomposable convex optimization. One common approach to this problem involves sampling one term at every iteration to make progress, which relies on the condition number of the problem.

In this talk, we will introduce an algorithm for decomposable convex optimization, based on a recent work by Dong, Jiang, Lee, Padmanabhan, and Ye (NeurIPS 2022). This algorithm solves the problem in nearly-linear gradient computations, with no assumptions on the condition number.

报名链接：https://form.zju.edu.cn/#/dform/genericForm/NecWHZ6k

58、春学期第七周讲座二

报告题目：Detecting Spurious Factor Models

报告信息来源：复旦大学大数据学院

报告人 Speaker：何易（阿姆斯特丹大学）

时间 Date time：2024-04-11 15：00-16：00

地点 Venue：腾讯会议ID: 350 518 134会议密码:200433

报告摘要 Abstract：

Spurious factor behaviors arise in large random matrices with high-rank signal components and heavy-tailed spectral distributions. This paper establishes analytical probabilistic limits and distribution theory of these spurious behaviors for high-dimensional non-stationary integrated systems, and stationary systems with near-unit-root spatial processes across cross sections, We transform scree plots into Hill plots to detect spectral patterns in these spurious factor models and develop multiple t-tests to distinguish between spurious and genuine factor models. Numerical analysis indicates that the existing spurious factor models fit some, but not all. economic datasets. In particular, the term structure of interest rates adheres to genuine factor models rather than the local correlation model.

报告人简介：

何易于2012年毕业于荷兰蒂尔堡大学计量经济学及运筹学系，并在2013年获得英国剑桥大学研究硕士学位。他于2016年取得荷兰蒂尔堡大学博士学位后先后在澳大利亚莫纳什大学商学院和荷兰阿姆斯特大学经济学院任职。何的研究领域涵盖高维统计、随机矩阵、极值理论和机器学习等多个方面。他的研究成果发表在Annals of Statistics, Journal of American Statistical Association, Journal of the Royal Statistical Society - Series B, Journal of Econometrics, Journal of Business and Economic Statistics期刊。

报名链接：https://form.zju.edu.cn/#/dform/genericForm/iaABwVxU

57、春学期第七周讲座一

报告题目：Multiplier ideal sheaf and alpha invariants

报告信息来源：中国科学院数学与系统科学研究院

报告人 Speaker：张科伟（北京师范大学）

时间 Date time：2024-04-09 10：00-11：00

地点 Venue：腾讯会议：866-1301-8136

报告摘要 Abstract：

In this talk we give the definition of non-klt locus and multiplier ideal sheaf. They are useful for the computation of Tian’s invariant.

报名链接：https://form.zju.edu.cn/#/dform/genericForm/cD37Zvix

报名签到情况：【春七周讲座一】讲座报名签到.xlsx

56、春学期第六周讲座二

报告题目：同余数问题研究

报告信息来源：中国科学院数学与系统科学研究院

报告人 Speaker：秦厚荣（南京大学）

时间 Date time：2024-04-03 15：30-17：00

地点 Venue：腾讯会议：522-498-513 密码：123456

报告摘要 Abstract：

我们把三条边长都是有理数的直角三角形的面积称为同余数. 同余数问题就是判断一个给定的正整数是否是同余数. 这一问题历史悠久, 很多学者做出了贡献, 我国数学家田野的工作被称为里程碑式的成果. 报告介绍同余数问题和相关研究, 特别是我们在同余数问题方面的研究结果. 内容包括：我们给出的同余数的判别法并与经典的 Tunnell定理进行比较；解释我们的证明中首次给出的权为 3/2 的尖形式到权为 2 的尖形式的Shimura提升的方法，其中关键点是发现了三元二次型表奇素数的平方与相关的四元二次型表这个奇素数之间存在着深刻的关联；我们还将说明我们发现的同余数问题与代数K理论之间存在的密切联系。

报告人简介：

秦厚荣，南京大学教授、博士生导师。现任江苏国家应用数学中心主任；1999年获国家杰出青年基金，2004年受聘教育部长江学者奖励计划特聘教授；1998年至2022年先后担任南京大学数学系党委书记，系主任；江苏省数学学会第十届、第十一届理事长，第十二届监事会监事长。研究方向主要是代数数论和代数K理论。秦厚荣教授在同余数这一历史悠久问题的研究上取得了重要成果；在数域的Tame核、Tate核方面做出了原创性工作；在著名的椭圆曲线Anomalous素数的Mazur猜想以及Lang-Trotter猜想的研究中取得了突破。在国际著名刊物上发表了数十篇论文，研究结果在国际同行中产生了广泛而积极的影响。

报名链接：https://form.zju.edu.cn/#/dform/genericForm/bn0KXvoW

报名签到情况：【春六周讲座二】讲座报名签到.xlsx

55、春学期第六周讲座一

报告题目：Quantitative Cauchy Uniqueness, Three Sets Theorem, and BMO Estimates in Homogenization

报告信息来源：星空体育官方网站

报告人 Speaker：林芳华（纽约大学柯朗数学研究所）

时间 Date time：2024-04-02 10：30开始

地点 Venue：数学科学学院2楼报告厅(海纳苑2幢210室)

报告摘要 Abstract：

Classical three sphere theorem, uniqueness of Cauchy problem and BIO estimates for solutions of elliptic equations have a great deal to do with the growth rates of solutions. The subject of quantitative unique continuation is to study growth rates of solutions. The latter often depends on Lipschitz continuity of coefficients of equations. In this lecture, l shall discuss an ongoing project (with Z.H.Gan, R.J.Jiang) concerning such estimates in elliptic homogenization. We found an essentially necessary and sufficient condition product of the growth rates with small-period size epsilon so that the above mentioned are true.

报告人简介：

林芳华教授为纽约大学柯朗数学研究所讲席教授，是一位在世界上享有盛誉的数学家。他1981年毕业于浙江大学，1985年在明尼苏达大学获博士学位。1990年在国际数学家大会上作45分钟报告，2002年荣获美国数学会Bocher奖，2004年成为美国艺术和科学院院士2015年被评为美国数学会fellow。林芳华教授在偏微分方程、几何测度论、几何分析等数学领域有着广泛而突出的贡献，特别是在液晶数学理论、调和映照、Ginzburg-Landau方程等问题上做出了一系列杰出的工作。林芳华教授已出版了多本专著，并在Acta Math. Ann.Math., JAMS,Invent. Math.CPAM等国际著名期刊上发表了200余篇论文。

报名链接：https://form.zju.edu.cn/#/dform/genericForm/ZlXKgZXj

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报名签到情况：【春六周讲座一】讲座报名签到.xlsx

54、春学期第五周讲座四

报告题目：Multi-bubble blow-ups and multi-solitons to stochastic nonlinear Schrodinger equations

报告信息来源：星空体育官方网站

报告人 Speaker：张登（上海交通大学）

时间 Date time：2024-03-29 16：00开始

地点 Venue：数学科学学院2楼报告厅(海纳苑2幢210室)

报告摘要 Abstract：

In this talk l will review some recent results on multi-bubble blow-ups and multi-solitons to the focusing nonlinear Schrodinger equations in both stochastic and deterministic cases. We will show the construction and conditional uniqueness of multi-bubble Bourgain-Wang type blow-up solutions and non-pure multi-solitons, which provide new examples for the mass quantization conjecture and the soliton resolution conjecture. In the low asymptotic regime, the refined uniqueness is also de-rived. Furthermore, we will show the direct construction of stochastic multi-solitons in the mass critical and subcritical cases, for which the classical pseudo-conformal symmetry is absent.

报告人简介：

张登，上海交通大学数学科学学院长聘副教授，博土生导师，获得国家自然科学基金优青项目、上海市启明星项目等资助。主要从事随机偏微分方程及其相关领域的研究，在随机薛定谔方程的全局适定性、多波包爆破解和多孤波解，流体方程的弱解非唯一性等方面取得了研究成果，相关成果发表在AOP， ARMA.CMP,JMPA, PTRF,TAMS等国际期刊。

报名链接：https://form.zju.edu.cn/#/dform/genericForm/npOXwU5H

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报名签到情况：【春五周讲座四】讲座报名签到.xlsx

53、春学期第五周讲座三

报告题目：Global Well-posedness for 2D Generalized Parabolic Anderson Model via Paracontrolled Calculus

报告信息来源：四川大学数学学院

报告人 Speaker：朱湘禅（中国科学院数学与系统科学研究院）

时间 Date time：2024-03-29 14：30-15：30

地点 Venue：腾讯会议：594-527-066 会议密码：0329

报告摘要 Abstract：

In this talk we revisits the problem of global well-posedness for the generalized parabolic Anderson model on R + ×T 2 within the framework of paracontrolled calculus [GIP15]. The model is given by the equation: (∂t −∆)u = F (u)η where η ∈ C −1−κ with 1/6 > κ > 0, and F ∈ C 2 b (R). Assume that η ∈ C −1−κ and can be lifted to enhanced noise, we derive new a priori bounds. The key idea follows from the recent work [CFW24] by A.Chandra, G.L. Feltes and H.Weber to represent the leading error term as a transport type term, and our techniques encompass the paracontrolled calculus, the maximum principle, and the localization approach (i.e. high-low frequency argument).

报告人简介：

朱湘禅，中国科学院数学与系统科学研究院应用数学研究所研究员，2012年于北京大学和德国比勒菲尔德大学获得博士学位。主要研究方向是随机分析和随机偏微分方程，具体包括奇异随机偏微分方程和随机流体方程等。在Comm. Pure Appl. Math.，Comm. Math. Phys.， Ann. Probab.， Probab. Theory Related Fields, J. Funct. Anal. 等期刊上发表了多篇论文。

报名链接：https://form.zju.edu.cn/#/dform/genericForm/jHSTrMoQ

进入会议后修改名称为【真实姓名】并且截图，图中包含个人姓名，会议结束后填写签到链接并且上传截图用于签到。请尽快入会，会议超过给定上限可能无法进入

报名签到情况：【春五周讲座三】讲座报名签到.xlsx

52、春学期第五周讲座二

报告题目：Some Statistical Methods in Causal Inferences and Diagnostic Medicine

报告信息来源：星空体育官方网站

报告人 Speaker：周晓华（北京大学）

时间 Date time：2024-03-26 16：00开始

地点 Venue：数学科学学院2楼报告厅(海纳苑2幢210室)

报告摘要 Abstract：

Two important areas in biostatistics are causal inference and statistical methods in diagnostic medicine. in this talk, I give an overview on my research interests in these two areas. Particularly, I discuss some new developments in the statistical methodology for making causal inference, and discuss some future research directions. In addition, I give an overview on some new developments in statistical methods in evaluation of the accuracy of medical devices.

报告人简介：

周晓华，北京大学讲席教授。北京大学公共卫生学院生物统计系主任，北京大学统计科学中心副主任，北京大学北京国际数学研究中心生物统计及生物信息实验室主任，北京大数据研究院中医大数据中心主任。荣获美国联邦政府授予的研究生涯科学家奖，中国国家自然科学基金委海外本青，中国教育部高层次文教专家，中国教育部海外名师等荣誉称号，获美国统计学会贝叶斯分析科学分会及国际贝叶斯统计科学学会Mitchell奖，中国产学研合作创新奖，SCIENCECHI-NA-Mathematics评选的年度优秀论文奖。研究方向主要集中于医学诊断学的统计方法，随机临床试验中的设计及统计方法，因果推断分析方法，医疗大数据，缺失数据，新兴传染病的数学和统计建模，脑科学，卫生经济，卫生服务，中医药研究等领域发展新的统计方法，做出了许多重要天献，在国际顶尖的统计和生物统计期刊J，RStatist:Soc:B,JASA,Biometrika，Annals ofStatistics,Biometrics,Statistics in Medicine等发表SCI学术论文260余篇，其中130余篇星第一或通信作者。先后任生物统计学顶尖期刊，Biometrics,Statisticsin Medicine,Journal oAmerican Statistical Association- Theory and Method副编辑也是国际生物统计学会中国分会会刊，Biostatistlcs&Epidemiology主编。

报名链接：https://form.zju.edu.cn/#/dform/genericForm/qLqjLeFp

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51、春学期第五周讲座一

报告题目：Calabi-Yau Varieties: Enumerative Geometry, Arithmetic Geometry and Physics

报告信息来源：星空体育官方网站

报告人 Speaker： Albrecht Klemm（德国波恩大学）

时间 Date time：2024-03-25 16：00开始

地点 Venue：数学科学学院2楼报告厅(海纳苑2幢210室)

报告摘要 Abstract：

Complex Kahler varieties with vanishing first Chern class, Calabi-Yau varieties for short, can be viewed as natural generalisation of elliptic curves from one--to higher complex dimensions. Here we highlight the most interesting mathematical aspects of these generalisations with a particular emphasis on their applications to mathematical physics, which range from geometric engineering of non-perturbative quantum field theories over the predictions for the microscopic entropy of blackholes to the calculation of Feynman inteqrals.

报告人简介：

Albrecht Klemm 教授现任德国波恩大学物理系和Hausdroff数学中心教授，并为弦论与数学物理课堂组组长。其在模空间、理论物理、镜对称和拓扑弦论的工作最为著名。

报名链接：https://form.zju.edu.cn/#/dform/genericForm/AAWHxu98

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报名签到情况：【春五周讲座一】讲座报名签到.xlsx

50、春学期第四周讲座五

报告题目：Well-Balanced Scheme for Euler Equations with Singular Sources

报告信息来源：星空体育官方网站

报告人 Speaker：刘铁钢（北京航空航天大学）

时间 Date time：2024-03-22 16：00开始

地点 Venue：数学科学学院2楼报告厅(海纳苑2幢210室)

报告摘要 Abstract：

In this talk, numerical methods for the Euler equations with a singular are discussed. The stationary discontinuity induced by the singular source and its coupling with the convection of fluid present challenges to both theoretical analysis and numerical computation. We introduce a definition of the well-balanced property of the numerical scheme for the singular source of interest, which is necessary for the numerical solution to be correct. We theoretically show that the splitting scheme is always not well-balanced and leads to incorrect results. For the unsplitting scheme, we present a consistency condition of the numerical fluxes for singular sources, which ensures the numerical scheme to be well-balanced, However, it can be shown that the well-balanced property of a scheme cannot guarantee the correct numerical solutions in extreme cases. To fix such difficulties, we propose a solution-structure based approximate Riemann solver, in which the structure of Riemann solution is first predicted and then its corresponding approximate solution is given. The proposed solver can be applied to the calculation of numerical fluxes in a general finite volume method, which can lead to a new well-balanced scheme. Numerical tests show the discontinuous Galerkin method based on the present approximate Riemann solver has ability to capture each wave accurately.

报告人简介：

刘铁钢，北京航空航天大学数学科学学院教授，教育部“数学、信息与行为”重点实验室主任。获高等教育(研究生)国家级教学成果奖一等奖，北京市管理育人先锋。于1986年和1989年获得北京大学数学系理学学士和硕士，2001年获新加坡国立大学机械工程系流体力学工学博士。主要研究方向为可压缩多介质流体数值方法、内嵌数理机理的流场智能处理方法、气动优化、空化流建模及数值模拟、流-固耦合及动边界问题数值模拟等。提出了内嵌特征压缩的人工智能激波识别器、被广泛应用的修正虚拟介质(MGEM)方法和等熵单流体空化模型。共发表SCI论文100余篇，其中20余篇发表在J.Comput. Phys.和 SIAM J.Sci.Comput. 顶级杂志。主持和参与多个国家自然科学基金重点项目、民机专项、中俄国际合作专项、科技部重大专项。曾任研究生院副院长兼培养处处长，中国数学学会理事，中国工业与应用数学学会常务理事，教育部高等教育数学类专业教学指导委员会秘书长;现任中国计算数学学会常务理事，北京市计算数学学会常务理事，《计算数学》《计算物理》等期刊编委

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49、春学期第四周讲座四

报告题目：Nonuniform Sobolev Spaces

报告信息来源：星空体育官方网站

报告人 Speaker：孙文昌（南开大学）

时间 Date time：2024-03-22 14：30开始

地点 Venue：数学科学学院2楼报告厅(海纳苑2幢210室)

报告摘要 Abstract：

We study nonuniform Sobolev spaces, i.e. spaces of functions whose partial derivatives lie impossibly different Lebesgue spaces. Although standard proofs do not apply, we show that nonuni-orm Sobolev spaces share similar properties as the classical ones. These spaces arise naturally in the study of certain PDEs. For instance, we illustrate that nonuniform fractional Sobolev spaces are useful in the study of local estimates for solutions of heat equations and the convergence of Schrodinger operators. In this work we extend recent advances on local energy estimates for solutions of heat equations and the convergence of Schrodinger operators to nonuniform fractional Sobolev spaces.

报告人简介：

孙文昌，南开大学数学科学学院教授。孙文昌主要研究小波分析与调和分析，多次主持国家自然科学基金和教育部博士学科点基金项目，在Advances in Mathematics、Mathematische Annalen、journal of Functional Analysis、Applied and Computational Harmonic Analysis、 Mathematics of Computation、IEEE Transactions on Information Theory、Optics Communications等SCI期刊上发表90多篇论文。孙文昌曾获得国家杰出青年科学基金(2015)，国务院政府特殊津贴(2010年度)，天津市自然科学一等奖(第一完成人，2008年)，天津青年科技奖(2008年)，微软青年教授奖(2006年)，教育部新世纪优秀人才支持计划(2004年)。

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48、春学期第四周讲座三

报告题目：Mathematical Perspectives of Neural Networks

报告信息来源：北京大学数学科学学院

报告人 Speaker：王迩东（北京大学）

时间 Date time：2024-03-21 14：00-15：00

地点 Venue：腾讯会议：446-9399-1513

报告摘要 Abstract：

With the significant success of deep learning in practical applications in recent years, researchers have become curious about whether it is possible to explain neural networks with mathematical theory. In the process of solving practical problems using neural networks and deep learning algorithms, there are three natural types of errors: approximation error, optimization error, and generalization error. In this seminar, we will specifically introduce the sources of these three errors and showcase some representative works of theoretical analysis in recent years. Currently, these theories still have a significant gap from what we actually want to explain. They provide little practical guidance for deep learning algorithms, and the design of specific algorithms and determination of hyperparameters for practical problems still heavily rely on practical experience and meta-learning. Perhaps researchers have not yet found valuable theoretical directions for explaining neural networks. At present, the implementation of specific algorithms remains a more valuable direction of work.

报名链接：https://form.zju.edu.cn/#/dform/genericForm/7XVqXZbg

报名签到情况:【春四周讲座三】讲座报名签到.xlsx

47、春学期第四周讲座二

报告题目：Robust estimation over shared networks in the presence of denial-of-service attacks

报告信息来源：中国科学院数学与系统科学研究院

报告人 Speaker：Xu Zhang（Xidian University）

时间 Date time：2024-03-20 10：15-11：15

地点 Venue：腾讯会议：246-200-727

报告摘要 Abstract：

Networked multi-agent systems often communicate information over low-power shared wireless networks in unlicensed spectrum, which are prone to denial-of-service attacks. An instance of this scenario is considered: multiple pairs of agents, each pair consisting of a transmitting sensor and a receiver acting as an estimator, communicate strategically over shared communication networks in the presence of a jammer who may launch a denial-of-service attack in the form of packet collisions. Using the so-called coordinator approach, we cast this problem as a zero-sum game between the coordinator, who jointly optimizes the transmission and estimation policies, and a jammer who optimizes its probability of performing an attack. In this talk, we consider two cases: point-to-point channels and large-scale networks with a countably infinite number of sensor-receiver pairs. When the jammer proactively attacks the channel, we find that this game is nonconvex from the coordinator's perspective. However, we construct a saddle point equilibrium solution for any multi-variate Gaussian input distribution for the observations despite the lack of convexity. In the case where the jammer is reactive, we obtain a customized algorithm based on sequential convex optimization, which converges swiftly to first order Nash-equilibria. Interestingly, we discovered that when the jammer is reactive, it is often optimal to block the channel even when it knows that the channel is idle to create ambiguity at the receiver.

报名链接：https://form.zju.edu.cn/#/dform/genericForm/WZjxT0xE

报名签到情况:【春四周讲座二】讲座报名签到.xlsx

46、春学期第四周讲座一

报告题目：Introduction to random zeros of holomorphic sections: construction of random sections

报告信息来源：中国科学院数学与系统科学研究院

报告人 Speaker：刘冰萧（科隆大学）

时间 Date time：2024-03-19 15：00-16：30

地点 Venue：腾讯会议：578-433-546

报告摘要 Abstract：

For a compact Khler manifold, by considering the high tensor powers of a prequantum line bundle, Shiffman and Zelditch (1999, CMP) proved the equidistribution of the zeros of random holomorphic sections in the semiclassical limit. Then several generalizations and extensions of this result have been made in different geometric or probabilistic settings. Notably, the large deviation estimates and hole probabilities for the random zeros were also established on compact Hermitian manifolds. In this series of lectures, I will give an introduction to these results and their generalization to the case of noncompact Hermitian manifolds. Specially, as the first part of the lectures, I will discuss the constructions of the Gaussian random holomorphic sections of holomorphic line bundles and the methods to study their zeros. A particular case is that the space of square-integrable holomorphic sections is infinite-dimensional.

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报名签到情况:【春四周讲座一】讲座报名签到.xlsx

45、春学期第三周讲座三

学院内部线下讲座，详情见学术讲座钉钉群。

报名签到情况：【春三周讲座三】讲座报名签到.xlsx

44、春学期第三周讲座二

报告题目：The L2 theory for compressible Euler equations （1）

报告信息来源：上海交通大学数学科学学院

报告人 Speaker：Geng Chen（堪萨斯大学）

时间 Date time：2024-03-15 10：00-12：15

地点 Venue：腾讯会议：936-6961-9613

报告摘要 Abstract：

In this course, I will discuss the jonit work with Krupa and Vasseur for systems with two unknows and non-isentropic Euler equations with three unknows, where we esbablished an L2 stability theory using the method of relative entropy on modified front tracking scheme. As an application, we show that all BV solution must satisfy the bounded variation condition.

报名链接：https://form.zju.edu.cn/#/dform/genericForm/VV2NAL7W

报名签到情况：【春三周讲座二】讲座报名签到.xlsx

43、春学期第三周讲座一

报告题目：Noncompact n-dimensional Einstein spaces as attractors for the Einstein flow

报告信息来源：中山大学数学学院

报告人 Speaker：王金花（厦门大学）

时间 Date time：2024-03-11 14：30-15：30

地点 Venue：腾讯会议：259-175-363

报告摘要 Abstract：

We prove that along with the Einstein flow, any small perturbations of an $n$($n\geq4$)-dimensional, non-compact negative Einstein space with some ``non-positive Weyl tensor” lead to a unique and global solution, and the solution will be attracted to a noncompact Einstein space that is close to the background one. The $n=3$ case has been addressed in Wang-Yuan, while in dimension $n\geq 4$, as we know, negative Einstein metrics in general have non-trivial moduli spaces. This fact is reflected on the structure of Einstein equations, which further indicates no decay for the spatial Weyl tensor. Furthermore, it is suggested in the proof that the mechanic preventing the metric from flowing back to the original Einstein metric lies in the non-decaying character of spatial Weyl tensor. In contrary to the compact case considered in Andersson-Moncrief, our proof is independent of the theory of infinitesimal Einstein deformations. Instead, we take advantage of the inherent geometric structures of Einstein equations and develop an approach of energy estimates for a hyperbolic system of Maxwell type.

报名链接：https://form.zju.edu.cn/#/dform/genericForm/GbHOsuzg

报名签到情况：【春三周讲座一】讲座报名签到.xlsx

42、春学期第二周讲座四

报告题目：Interlacing Polynomial Method for Matrix Approximation

报告信息来源：星空体育官方网站

报告人 Speaker：蔡剑锋（香港科技大学）

时间 Date time：2024-03-08 16：30开始

地点 Venue：数学科学学院2楼报告厅(海纳苑2幢210室)

报告摘要 Abstract：

Matrix approximation is a crucial technique in numerous research areas across science and engineering, such as machine learning, scientific computing, and signal processing. These fields often deal with high-dimensional datasets formatted as matrices, which necessitates the use of matrix ap-proximation as a fundamental step in data processing. In this talk, we address the problem of approximating a data matrix by selecting a subset of its columns and/or rows either from the matrix itself or from other source matrices. We apply the method of interlacing polynomials, introduced by Marcus, Spielman, and Srivastava, to develop new deterministic algorithms and establish a theoretical limit on the minimum approximation error, Our algorithm is deterministic and operates in polynomial time. Additionally, our new bounds are asymptotically sharp in several challenging scenarios where current methods provide unnecessarily large error bounds.

报告人简介：

蔡剑锋现任香港科技大学数学系教授。主要研究兴趣为信号、图像和数据的理论和算法基础。他在矩阵恢复、图像重构和成像算法等领域，取得了一系列开创性的科研成果。他星空体育官方网站矩阵补全的SVT算法对学术研究和实际应用产生重要影响，被广泛引用。他在2017年和2018年被评为全球高被引学者，学术文章总被引超13000次。

报名链接：https://form.zju.edu.cn/#/dform/genericForm/wdx7wie9

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报名签到情况：【春二周讲座四】讲座报名签到.xlsx

41、春学期第二周讲座三

报告题目：An Introduction to Scaling Laws of Deep Learning Models

报告信息来源：北京大学数学科学学院

报告人 Speaker：杨潇博（北京大学）

时间 Date time：2024-03-07 14：00-15：00

地点 Venue：腾讯会议：446-9399-1513

报告摘要 Abstract：

With the development of deep learning techniques, there has been a consensus that increasing the number of parameters and the size of data in neural networks may lead to better performance. However, the question of how to effectively scale computational resources to improve performance has been a persistent challenge. In order to address this issue, researchers have proposed scaling laws to describe the relationship between the optimal performance of a model and the size of its parameters and dataset.

In this talk, I will introduce the scaling law research of deep learning models and show some connections with the emergent abilities of large language models.

报名链接：https://form.zju.edu.cn/#/dform/genericForm/UHAsCXiU

报名签到情况：【春二周讲座三】讲座报名签到.xlsx

40、春学期第二周讲座二

报告题目：Efficient numerical methods for solving Nonlinear Filtering Problems in medium-high dimensions

报告信息来源：清华丘成桐数学科学中心

报告人 Speaker： Zhiwen Zhang（Hong Kong University）

时间 Date time：2024-03-07 11：30开始

地点 Venue：腾讯会议：792-329-157

报告摘要 Abstract：

This talk introduces two efficient numerical methods for solving nonlinear filtering (NLF) problems. We propose the utilization of the proper orthogonal decomposition (POD) method and tensor train decomposition method to solve the forward Kolmogorov equation (FKE) associated with NLF problems. Our approach involves offline and online stages. In the offline stage, we discretize the partial differential operators within the FKE using the finite difference method, while extracting low-dimensional structures in the solution through the POD method or tensor train decomposition method. In the online stage, we leverage precomputed POD basis functions or low-rank approximation tensors to rapidly solve the FKE when provided with new observation data. Consequently, real-time solutions to NLF problems can be obtained. Numerical results are also presented to demonstrate the efficiency and accuracy of our proposed method in solving NLF problems of up to six dimensions.

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报名签到情况：【春二周讲座二】讲座报名签到.xlsx

39、春学期第二周讲座一

报告题目：Kirkwood-Dirac表象和量子资源理论

报告信息来源：中国科学院数学与系统科学研究院

报告人 Speaker：胥建卫（西北农林科技大学）

时间 Date time：2024-03-04 10：30-11：30

地点 Venue：腾讯会议：156-164-910

报告摘要 Abstract：

本报告中我们讨论在Kirkwood-Dirac(KD)表象和量子资源理论领域的若干理论探索。我们提出了矩阵缺秩指数的概念，并用这个概念对酉矩阵进行分类，这种分类刚好对应于两个正交归一基的兼容性问题，并且和KD表象问题有联系。目前对KD经典纯态已经有一些理论研究，我们对KD经典纯态做了进一步研究，改进了已知的几个结论。虚数性问题这几年受到较多关注，但是已有的研究主要集中在有限维量子态。我们研究了玻色高斯态的虚数性问题，得到了高斯态是实数态时其一阶矩和二阶矩的充要条件，在此基础上我们提出了基于保真度的高斯态虚数性度量和基于Tsallis相对熵的高斯态虚数性度量。最后我们介绍一种量子相位的资源理论。

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报名签到情况：【春二周讲座一】讲座报名签到.xlsx

38、春学期第一周讲座一

报告题目：深地工程中的花瓣定理和地压峰值点极限定理

报告信息来源：中国科学院数学与系统科学研究院

报告人 Speaker：乔建永（北京邮电大学）

时间 Date time：2024-02-28 10：00-11：00

地点 Venue：腾讯会议：834-495-475

报告摘要 Abstract：

深地工程涉及能源安全、国防建设和环境保护等国家战略。我们将基础数学中的动力系统结构稳定性理论引入深地工程，构建深地工程中的复杂地质动力系统方法。应用复动力系统和复分析理论，证明了隧道成灾的花瓣定理和地压峰值点极限定理。以此为理论基础研发的专利技术有效推动了深地工程一线技术的原理性变革，被应用企业评价为：通过数学创新，解决了中外所有矿区面临的公认难题。

报名链接：https://form.zju.edu.cn/#/dform/genericForm/ql4p1h86

报名签到情况：【春一周讲座一】讲座报名签到.xlsx

37、2.23寒假讲座

数院线下讲座

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36、1.27寒假讲座

数院线下讲座

报名签到情况：1.27线下讲座报名签到表.xlsx

35、冬学期第八周讲座

数院内部报告

报名签到情况：【冬八周讲座】讲座报名签到.xlsx

34、冬学期第七周讲座三

数院内部报告

报名签到情况：【冬七周讲座三】讲座报名签到.xlsx

33、冬学期第七周讲座二

报告题目：Inverse Lax-Wendroff Procedure for Numerical Boundary Conditions

报告信息来源：清华丘成桐数学科学中心

报告人 Speaker：Chi-Wang Shu (Brown University)

时间 Date time：2023-12-29 16:00-17:00

地点 Venue：腾讯会议：908-3255-9891

报告摘要 Abstract：

When solving partial differential equations, finite difference methods have the advantage of simplicity, however they are usually only designed on Cartesian meshes. In this talk, we will discuss a class of high order finite difference numerical boundary condition for solving hyperbolic Hamilton-Jacobi equations, hyperbolic conservation laws, and convection-diffusion equations on complex geometry using a Cartesian mesh. The challenge results from the wide stencil of the interior high order scheme and the fact that the boundary may not be aligned with the mesh. Our method is based on an inverse Lax-Wendroff procedure for the inflow boundary conditions coupled with traditional extrapolation or weighted essentially non-oscillatory (WENO) extrapolation for outflow boundary conditions. The schemes are shown to be high order and stable, under the standard CFL condition for the inner schemes, regardless of the distance of the first grid point to the physical boundary, that is, the ``cut-cell'' difficulty is overcome by this procedure. Recent progress in nonlinear conservation laws with sonic points, and a conservative version of the method, will be discussed. Numerical examples are provided to illustrate the good performance of our method.

报告人简介：

Chi-Wang Shu obtained his BS degree from the University of Science and Technology of China in 1982 and his PhD degree from UCLA in 1986. He has been at Brown University since 1987, where he is the Chair of the Division of Applied Mathematics since 2023 and between 1999 and 2005, and is the Theodore B. Stowell University Professor of Applied Mathematics. His research interest includes high order numerical methods for solving hyperbolic and other convection dominated PDEs, with applications in CFD and other areas. He is the Chief Editor of Journal of Scientific Computing and of Communications on Applied Mathematics and Computation, and serves in the editorial boards of several other journals including Journal of Computational Physics and Mathematics of Computation. He is a SIAM Fellow, an AMS Fellow and an AWM Fellow, and an invited 45-minute speaker in the International Congress of Mathematicians (ICM) in 2014. He received the First Feng Kang Prize of Scientific Computing in 1995, the SIAM/ACM Prize in Computational Science and Engineering in 2007, and the SIAM John von Neumann Prize in 2021.

报名链接：https://form.zju.edu.cn/#/dform/genericForm/ZMHjlg3i

报名签到情况：【冬七周讲座二】讲座报名签到.xlsx

32、冬学期第七周讲座一

报告题目：AIA：AI辅助算法设计的若干尝试

报告信息来源：中国科学院数学与系统科学研究院

报告人 Speaker：卜东波（中国科学院计算技术研究所）

时间 Date time：2023-12-27 14：00-16：00

地点 Venue：腾讯会议：229-844-874

报告摘要 Abstract：

理解一个算法如何工作并不算是太困难的任务，但是要弄明白算法是怎样设计出来的，却是很困难的。算法设计一般被认为是非常依赖灵感的智力活动；当我们看到别人设计出的精妙算法时，在钦佩之余，往往也会有与G.Polya类似的困惑：“这么精妙的算法是怎样设计出来的？我为什么没有想到这个算法呢？”本次报告将介绍“用AI技术辅助算法设计”的初步尝试，包括利用深度学习技术自动学习出排课问题的贪心规则，实现了变“凭灵感设计算法”为“从数据学习出算法”；利用AI技术设计求解最小加权覆盖问题的贪心规则，性能超过经典的、依赖人工设计的贪心算法；利用AI技术的TSP求解算法，性能超过LKH算法；利用AI技术的插值算法NIERT，学出“插值基函数”。

报名链接：https://form.zju.edu.cn/#/dform/genericForm/vhLl9RkM

报名签到情况：【冬七周讲座一】讲座报名签到.xlsx

31、冬学期第六周讲座二

报告题目：On the long time behavior of nonlinear dispersive equations and related problems

报告信息来源：复旦大学数学科学学院

报告人 Speaker：赵泽华 (北京理工大学)

时间 Date time：2023-12-22 10:00-11:00

地点 Venue：腾讯会议：125-471-976

报告摘要 Abstract：

In this talk, we discuss the long time behavior and decaying property of nonlinear dispersive equations. We will see that for many typical defocusing models, the linear behavior dominates in the long run. We will use NLS as an example model illustrate. We will also discuss some related topics.

报名链接：https://form.zju.edu.cn/#/dform/genericForm/12KqmNTs

报名签到情况：【冬六周讲座二】讲座报名签到.xlsx

30、冬学期第六周讲座一

报告题目：An Introduction to Gradient-free Methods in Convex Optimization

报告信息来源：北京大学数学科学学院

报告人 Speaker：陈坤（北京大学）

时间 Date time：2023-12-21 16：00-17：00

地点 Venue：腾讯会议：551-1675-5419

报告摘要 Abstract：

Gradient-free/zeroth-order methods for convex optimization were developed in a wide range of works in the last decade, mainly driven by many applications in the field of reinforcement learning and statistics, such as convex bandit. Recently, several generic approaches based on optimal first-order methods were proposed, which allows us to obtain black-box zeroth-order algorithms for optimization problems. These algorithms also behave well in terms of the oracle complexity, iteration complexity, and level of admissible noise.

In this talk, we will introduce the major approach for several kinds of zeroth-order optimization problems, which is based on the first-order methods by approximating the gradient. We will then briefly introduce some specific optimization problems, such as convex bandit, as well as some techniques in first-order methods that can be applied to the gradient-free case.

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报名签到情况：【冬六周讲座一】讲座报名签到.xlsx

29、冬学期第五周讲座二

报告题目：Exploring the Training Robustness of Distributional Reinforcement Learning against Noisy State Observations

报告信息来源：中国科学院数学与系统科学研究院

报告人 Speaker：Linglong Kong (University of Alberta)

时间 Date time：2023-12-13 10:00-11:00

地点 Venue：腾讯会议：486-117-047

报告摘要 Abstract：

In real scenarios, state observations that an agent observes may contain measurement errors or adversarial noises, misleading the agent to take suboptimal actions or even collapse while training. In this paper, we study the training robustness of distributional Reinforcement Learning (RL), a class of state-of-the-art methods that estimate the whole distribution, as opposed to only the expectation, of the total return. Firstly, we validate the contraction of distributional Bellman operators in the State-Noisy Markov Decision Process (SN-MDP), a typical tabular case that incorporates both random and adversarial state observation noises. In the noisy setting with function approximation, we then analyze the vulnerability of least squared loss in expectation-based RL with either linear or nonlinear function approximation. By contrast, we theoretically characterize the bounded gradient norm of distributional RL loss based on the categorical parameterization equipped with the Kullback–Leibler (KL) divergence. The resulting stable gradients while the optimization in distributional RL accounts for its better training robustness against state observation noises. Finally, extensive experiments on the suite of environments verified that distributional RL is less vulnerable against both random and adversarial noisy state observations compared with its expectation-based counterpar.

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报名签到情况：【冬五周讲座二】讲座报名签到.xlsx

28、冬学期第五周讲座一

报告题目：Adaptive finite element methods for parameter estimation

报告信息来源：中国科学院数学与系统科学研究院

报告人 Speaker： Roland Becker（University of Pau, France）

时间 Date time：2023-12-11 16：30-17：30

地点 Venue：腾讯会议：369-716-119

报告摘要 Abstract：

In this talk we consider parameter-dependent elliptic partial differential equations with a finite number of parameters. The unknown parameters are sought for by minimizing a least-squares involving data/measurements. The underlying PDE is discretized by a conforming finite element method on a sequence of adaptive meshes, which are constructed by means of an error estimator.Here we propose an estimator for the error in parameter only. This in contrast to known estimators from the literature, which in addition control the energy-norm of the state and co-state. Our reason for doing so is that the last mentioned terms are generally of slower speed of convergence.After some motivation, we first discuss goal-oriented error estimation, then consider the parameter estimation problem, and finally we will discuss some open problems.

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报名签到情况：【冬五周讲座一】讲座报名签到.xlsx

27、冬学期第四周讲座三

报告题目：From virtual properties to profinite properties

报告信息来源：星空体育官方网站

报告人 Speaker：刘毅 (北京大学)

时间 Date time：2023-12-08 16：00开始

地点 Venue：海纳苑2幢210室

报告摘要 Abstract：

A virtual property of a group is a property that holds for some finite index subgroup of that group. A profinite property is what holds for the profinite completion.In this talk, I will give an overview of progress in 3-manifold topology about finite covers, and explain how it expands our knowledge on such properties for 3-mani-fold fundamental groups.

报告人简介：

刘毅，北京大学北京国际数学研究中心博雅特聘教授，博士生导师，国家杰出青年基金获得者。2006年本科毕业于北京大学，2012年获美国加州大学伯克利分校数学博士学位，2012年9月至2015年6月在美国加州理工大学从事博士后研究工作。曾获“求是”杰出青年学者奖，2022年在第29届国际数学家大会上作45分钟报告，被誉为年轻一代几何与拓扑领域优秀的青年数学家。主要研究方向为三维拓扑和双曲几何，已在国际数学四大顶刊发表4篇论文。

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26、冬学期第四周讲座二

报告题目：Computations in topological cyclic homology

报告信息来源：星空体育官方网站

报告人 Speaker：王国祯 (复旦大学)

时间 Date time：2023-12-07 16：00开始

地点 Venue：海纳苑2幢210室

报告摘要 Abstract：

Topological cyclic homology is introduced in the 1990s by Bokstedt-Hsiang-Madsen to study topological problems like the classifications of manifolds. The work of Dundas-Goodwillie-McCarthmakes topological cyclic homology an important tool in algebraic K-theory computations. Recently work by Bhatt-Morrow-Scholze has shed new light on the theory of topological cyclic homology and p-adic cohomology. Influenced by this, we will show how to use relative topological Hochschild homology to study topological cyclic homology for locally complete intersections. We will also give the basic properties of the resulting cohomology theory arising from the stack defined by the descent spectral sequence. This is joint work with Jingbang Guo and Ruochuan Liu.

报告人简介：

王国祯，复旦大学数学科学学院长聘教授，上海数学中心讲席教授，国家杰出青年基金获得者。2011年毕业于北京大学，获学士、硕士学位，2015年获得麻省理工学院博士学位，2015-2016年在哥本哈根大学从事博士后研究，2016-2018年在上海数学中心从事博士后研究。研究方向为代数拓扑，在球面稳定同伦群的计算方面，王国祯的团队处于世界领先水平。因为在球面稳定同伦群方面的工作，受邀在2022年国际数学家大会上作45分钟报告。在Ann.Math.,Acta Math.,Invent. Math,PNAS等顶级期刊(含4篇四大)上发表高质量论文多篇受到国内外同行的广泛赞誉。

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25、冬学期第四周讲座一

报告题目：Stability of planar rarefaction wave for a 2D hyperbolic-elliptic coupled system on half space

报告信息来源：星空体育官方网站

报告人 Speaker：朱长江（华南理工大学数学学院）

时间 Date time：2023-12-04 16：00-17：00

地点 Venue：腾讯会议：135-366-198 密码：1204

报告摘要 Abstract：

In this talk, we will introduce the asymptotic stability of solution to an initial-boundary value problem for a hyperbolic-elliptic coupling system on two-dimensional half space. We show that the solution to the problem converges to the corresponding planar rarefaction wave as time tends to infinity. To our knowledge, the stability result of planar rarefaction wave on half space focus primarily on the single viscosity conservation law because the rarefaction wave (one-dimensional diffusion wave) of the corresponding one-dimensional problem to scalar viscosity conservation law is known. In other words, for a general high dimensional system of equations, we cannot obtain the stability of planar rarefaction wave on half spacebecause we cannot construct the rarefaction wave of the corresponding one-dimensional problem. In this paper, we use the structure of the hyperbolic-elliptic coupling system to obtain the monotonic rarefaction wave of the corresponding one-dimensional problem, and hence give the stability of the plane rarefaction wave on half space.This is a joint work with Minyi Zhang.

报告人简介：

朱长江，博士，华南理工大学教授、博士生导师，享受国务院政府特殊津贴，国家杰出青年基金获得者，国际数学学术期刊《Kinetic and Related Models》、《Acta Mathematica Scientia》中英文版等杂志编委，《数学教育学报》副主编，教育部高等学校数学类教学指导委员会委员，教育部“创新团队发展计划”、国家自然科学基金重点项目、国家级教学团队、国家级一流本科专业、国家级精品课程、精品资源共享课程和一流本科课程负责人，全国优秀博士学位论文指导教师。主持完成的研究成果获教育部自然科学奖一等奖，广东省自然科学奖一等奖，湖北省自然科学奖一等奖，教学成果两次获国家级教学成果奖二等奖。2012年被评为全国优秀科技工作者，2017年入选国家“万人计划”教学名师，2020年获中国教师发展基金会杰出教学奖，2021年获华南理工大学教学终身成就奖。

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报名签到情况：【冬四周讲座一】讲座报名签到.xlsx

24、冬学期第三周讲座二

报告题目：Ambiguity Aversion and State-of-Information-Dependent Insurance

报告信息来源：北京大学统计科学中心

报告人 Speaker：Yuanying Guan (DePaul University)

时间 Date time：2023-11-30 11：00-12：00

地点 Venue：腾讯会议：963-947-138

报告摘要 Abstract：

It has been established that ambiguity aversion increases the optimal demand of (self-)insurance due to the resulting mean-preserving contraction in the distribution of expected utility. We extend the existing framework by further permitting the insurance indemnities to vary ex-ante based on the state of information concerning the loss probability that is realized expost. We show that ambiguity-averse agents will always strictly prefer state-of-information dependent insurances over ones with fixed indemnities. Our results also hold when the underlying state of information cannot be directly observed, but can be (partially) inferred from some observable indicators - based on which indemnities are further contingent.

报告人简介：

Dr. Guan earned her PhD in Financial Mathematics from Florida State University in 2011. She earned her BS in Financial Mathematics from Peking University in 2006. Dr. Guan joined DePaul University in 2020. She holds a joint appointment with the Department of Mathematical Sciences in the College of Science and Health and the Department of Finance in the Driehaus College of Business. As a member of those two departments, she serves as the Director of the Actuarial Science programs in each college. Dr. Guan is an Associate of the Society of Actuaries (ASA). Her research interests are in financial mathematics and actuarial science, focusing on heterogeneous agent models, risk management, and insurance economics.

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报名签到情况：【冬三周讲座二】讲座报名签到.xlsx

23、冬学期第三周讲座一

报告题目：超级球：构造布尔函数MILP模型的新方法

报告信息来源：中国科学院数学与系统科学研究院

报告人 Speaker：孙瑶（中国科学院信息工程研究所）

时间 Date time：2023-11-28 14：00-15：00

地点 Venue：腾讯会议：892-629-511

报告摘要 Abstract：

MILP（混合整数规划问题）求解器是密码算法自动化攻击中的重要工具，MILP模型的求解效率影响着攻击结果。不同的模型求解效率可能相差极大，为了研究影响模型求解效率的关键因素，需要构造多种MILP模型。本文研究布尔函数MILP模型构造方法，提出了可以构造多种类型MILP模型的超级球算法，并最终找到了一类在大多数情况下求解效率较高的MILP模型。

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报名签到情况：【冬三周讲座一】讲座报名签到.xlsx

22、冬学期第二周讲座三

报告题目：双曲动力系统中的微局部分析方法

报告信息来源：星空体育官方网站

报告人 Speaker：金龙 (清华大学)

时间 Datetime：2023-11-24 16：00开始

地点 Venue：海纳苑2幢210报告厅

报告摘要 Abstract：

我们介绍微局部分析方法在双曲动力系统的研究中的应用。微局部分析是二十世纪后半叶偏微分方程的研究中发展起来的重要工具，主要想法是将线性偏微分算子的性质归结为其象征，特别是象征所对应的Hamilton动力系统的性质。Baladi、Faure、Siostrand、Tsiui等人在2010年左右将微局部分析工具反而引入双曲动力系统的研究之中而产生了许多意想不到的结果，例如Dyatlov--Zworski以及Dyatlov--Guillarmou对Ruelle zeta函数的研究解决了Smale亚纯延拓猜想(对Anosov流由Giulietti-Liverani-Pollicot最先证明》。在此次报告中，我们将回顾这些结果并汇报最近与陶中恺(加州大学伯克利分校)合作对公理A流的迹公式以及Pollicott-Ruelle共振谱的一些研究工作。

报告人简介：

金龙，2006年参加IMO并获得金牌，2010年本科毕业于北京大学数学科学学院，2015年获得加州大学伯克利分校数学系博士学位。曾在哈佛大学和普渡大学任博士后、助理教授，现任清华大学丘成桐数学科学中心副教授。研究方向为微局部分析与半经典分析，谱理论与散射理论，近年来在量子混沌领域取得重要突破，在Acta Math、JAMS、CMP等顶尖期刊发表多篇学术论文。

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21、冬学期第二周讲座二

报告题目：Navigating Privacy, Utility, and Fairness in Generative Data Science

报告信息来源：北京大学统计科学中心

报告人 Speaker：Guang Cheng（UCLA）

时间 Date time：2023-11-23 14：00-15：00

地点 Venue：腾讯会议：830-899-630

报告摘要 Abstract：

Embark on a journey into the heart of Generative Data Science, the cornerstone of the evolving landscape of Generative AI. The talk centers on a meticulous statistical evaluation of generative data, specifically addressing three critical dimensions: the extent of privacy preservation, the optimization of utility in downstream tasks, and the reinforcement of fairness through generative data methodologies. Time permitting, a brief introduction to the UCLA Trustworthy AI Lab will be offered, providing a statistical perspective on Generative Data Science and its profound impact on shaping the trustworthy landscape of artificial intelligence.

报告人简介：

Guang Cheng is a Gradudate Vice Chair, Professor of Statistics and Data Science at UCLA, and also leading the Trustworthy AI Lab (https://www.stat.ucla.edu/~guangcheng/). He received his BA in Economics from Tsinghua University in 2002, and PhD in Statistics from University of Wisconsin-Madison in 2006. His research interests include generative data science, statistical machine learning and deep learning. Cheng is an Institute of Mathematical Statistics Fellow, Simons Fellow in Mathematics, NSF CAREER awardee and was also a member in the Institute for Advanced Study, Princeton.

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报名签到情况：【冬二周讲座二】讲座报名签到.xlsx

20、冬学期第二周讲座一

报告题目：分数域维格纳分布的时频分析理论与方法

报告信息来源：中国科学院数学与系统科学研究院

报告人 Speaker：张志超（南京信息工程大学）

时间 Date time：2023-11-21 14：00-15：30

地点 Venue：腾讯会议：185-701-256

报告摘要 Abstract：

为应对高维复杂特征信息处理挑战，本报告在闭形式瞬时互相关维格纳分布基础上，通过三个自由亚辛变换将传统维格纳分布推广为自由亚辛维格纳分布，并提出了其代表性特例，包括维不可分仿射特征维格纳分布、N维不可分核函数维格纳分布、N维不可分卷积表示维格纳分布和N维不可分瞬时互相关维格纳分布。本报告针对实值函数建立了一般自由亚辛维格纳分布的海森堡不确定性原理，针对复值函数建立了正交、标准正交、最小特征值可换、最大特征值可换等特定自由亚辛维格纳分布的海森堡不确定性原理，阐明了辛矩阵对自由亚辛维格纳分布时频分辨率的影响机制。所得结果在一维情形时的特例，即实值函数和复值函数的闭形式瞬时互相关维格纳分布海森堡不确定性原理，揭示了线性正则变换自由参数引发时频超分辨率的内在机制。

报名链接：https://form.zju.edu.cn/#/dform/genericForm/F1MbY8qr

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19、冬学期第一周讲座三

报告题目：New asymptotics applied to functional coefficient regression and climate sensitivity analysis

报告信息来源：浙江大学数据科学研究中心星空体育官方网站

报告人 Speaker：王启应(悉尼大学)

时间 Date time：2023-11-13 15：00开始

地点 Venue：浙江大学紫金港校区行政楼13层会议室

报告摘要 Abstract：

A general asymptotic theory is established for sample cross moments of nonstationary time series, allowing for long range dependence and local unit roots. The theory provides a substantial extension of earlier results on nonparametric regression that include near-cointegrated nonparametric regression as well as spurious nonparametric regression. Many new models are covered by the limit theory, among which are functional coefficient regressions in which both regressors and the functional covariate are nonstationary. Simulations show finite sample performance matching well with the asymptotic theory and having broad relevance to applications,while revealing how dual nonstationarity in regressors and covariates raises sensitivity bandwidth choice and the impact of dimensionality in nonparametric regression. An empirical example is provided involving climate data regression to assess Earth's climate sensitivity to CO$_2$. where nonstationarity is a prominent feature of both the regressors and covariates in the model. This application is the first rigorous empirical analysis to assess nonlinear impacts of COS 2S on Earth's climate. (Joint work with Peter Phillips and Ying Wang.)

报告人简介：

王启应，澳大利亚悉尼大学数学与统计学院教授，主要研究方向为计量经济，非参数统计自正则化极限理论等领域在Econometrica, Annals of Probability，Annals of Statistics, Journal of Econometrics和Econometric Theory等概率、统计和计量经济领域的顶尖期刊上发表论文80余篇，其专著《Limit theorems for nonlinear cointegrating regression》系统地介绍了非线性协整回归分析的理论体系。他是2007-2012 澳大利亚国家研究学者 (Australian Researcr Fellow) ，2017年计量经济理论杂志(Econometric Theory) Plura Scripsit 奖的三位获奖者之一，2004年以来持续获得渡大利亚科学研究委员会(ARC)资助。

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18、冬学期第一周讲座二

报告题目：Fully nonlinear PDEs on real and complex: manifolds

报告信息来源：星空体育官方网站

报告人 Speaker：关波(俄亥俄州立大学数学系)

时间 Date time：2023-11-13 16：00开始

地点 Venue：海纳苑2幢210室

报告摘要 Abstract：

Fully nonlinear PDEs have provided powerful techniques in the study of problems from complex and algebraic geometry. going back to Yau's proof of Calabi conjecture by solving the Monge-Ampere equation. It is worthwhile to note that many problems that have been studied so far can be expressed as equations or systems involving real (1.1) forms. this talk we introduce a new class of fully nonlinear equations of higher order differential forms, more precisely real (p. p) forms for p > 1 on Hermitian manifolds.0ur work was inspired by the important roles of such forms, especially in the study of cohomology classes. We shall also discuss some existence results on fully nonlinear equations on real and complex manifold, and techniques developed in solving these equations.This talk is based on joint work with my student Mathew George and other collaborators.

报告人简介：

关波，博士毕业于美国马萨诸塞大学，师从Joel Spruck教授。现为俄亥俄州立大学数学系教授。研究方向为非线性偏微分方程和几何分析，主要工作包括一般区域/流形上实和复蒙日-安培方程;常高斯曲率曲面的普拉图问题;闵可夫斯基问题的推广;星空体育官方网站双曲空间中具有常曲率和给定渐近边界的完备曲面的研究;以及实或复流形上一般完全非线性偏微分方程。其代表作发表在Annals of Math, CPAM, Duke Math.J., JDG,J.Eur. Math, Soc., J. Reine Angew.Math.，Amer.J.Math., Adv.Math.等国际一流期刊上。

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17、冬学期第一周讲座一

报告题目：Randomized Kaczmarz Iteration Methods:Algorithmic Extensions and Convergence Theory

报告信息来源：星空体育官方网站

报告人 Speaker：白中治(中国科学院数学与系统科学研究院)

时间 Date time：2023-11-13 15：00开始

地点 Venue：海纳苑2幢210室

报告摘要 Abstract：

We review and compare several representative and effective randomized Kaczmarz-type iteration methods, and their modifications and extensions, for solving the large, sparse, consistent or inconsistent systems of linear equations. We also anatomize, extract, and purify the asymptotic convergence theories of these iteration methods, and discuss, analyze, and summarize their advantages and dis-advantages from the viewpoints of both theory and computations.

报告人简介：

白中治，中国科学院数学与系统科学研究院研究员、博士生导师，俄罗斯南部联邦大学荣誉博士。先后获得国务院政府特殊津贴、国家杰出青年科学基金和冯康科学计算奖。先后担任至少十五种国际国内学术刊物的编委。曾连续五次跻身于汤森路透ISI Web of Science 全球高被引科学家行列。他与美国科学院、工程院和艺术科学院院士、斯坦福大学教授 Gene H.Golub 等一起所提出的 HSS 选代方法被公认为是矩阵计算的里程碑，也是线性代数方程组迭代方法研究领域近二十年来最重要的进展之一。在SIAM出版社出版专著一部。

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16、秋学期第八周讲座三

报告题目：Distinguished Lecture—Journey to the Center of the Earth

报告信息来源：星空体育官方网站

报告人 Speaker：Gunther Uhlmann(华盛顿大学、香港科技大学教授)

时间 Date time：2023-11-09 16：00开始

地点 Venue：海纳苑2幢210室

报告摘要 Abstract：

We will consider the inverse problem of determining the sound speed or index of refraction of a medium. This problem arises in global seismology by measuring the travel times of waves going through the medium.in an attempt to determine the inner structure of the Earth by measuring travel times of earthquakes, lt also has several applications in optics and medical imaging among others. The problem can be recast as a geometric problem: Can one determine the Riemannian metric of a Riemannian manifold with boundary by measuring the distance function between boundary points? This is the boundary rigidity problem. We will also consider the problem of determining the metric from the scattering relation, the so-called lens rigidity problem. The linearization of these problems involves the integration of a tensor along geodesics, similar to the X-ray transform and we will consider the problem of inverting these transforms using limited data. No previous knowledge of differential geometry will be assumed

报告人简介：

Gunther Uhlmann，现为美国华盛顿大学Robert R.Phelps and Elaine F.Phelps Endowed Professorship及香港科技大学高等研究院Si-Yuan Professor，美国科学院和美国艺术与科学院两院院士，美国工业与应用数学学会会士。曾获美国数学会Bocher Memorial Prize、美国SIAM Kleinman Prize、以及AMS-SIAM联合颁发的George David Birkhoff Prize。 Uhlmann教授是数学物理反问题的著名专家，在偏微分方程反问题的理论与应用，Boundary Rigidity问题，微局部分析在反问题中的应用等领域做出了开创性的工作和里程碑的贡献。

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15、秋学期第八周讲座二

报告题目：Convergence analysis on the particle systems with centralized control

报告信息来源：星空体育官方网站

报告人 Speaker：周超(National University of Singapore)

时间 Date time：2023-11-08 14：00开始

地点 Venue：海纳苑2幢203室

报告摘要 Abstract：

This paper deals with the optimization problem of a class of controlled N-particle systems. We establish the regularity results, which is uniform in N , on the HJB equations corresponding to the N-particle system. The uniform regularity results are obtained by the stochastic maximum principle and the analysis on a Riccati type BSDE. Using the uniform regularity results, we show the convergence of value function and optimal control as the number N of particles tends to infinity, where the convergence rates are also given. This is based on a joint work with Huafu Liao, Alpar Meszaros and Chenchen Mou.

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14、秋学期第八周讲座一

报告题目：School Colloquium-Commutative and noncommutative resolutions of singularities

报告信息来源：星空体育官方网站

报告人 Speaker：Alexey Bondal(Kavli IPMU, Steklov Mathematical Institute Russian Academy of Sciences)

时间 Date time：2023-11-06 14：00开始

地点 Venue：海纳苑2幢210室

报告摘要 Abstract：

Singularity Theory is considered as an important tool in application of geometry to various problems in physics. Singularities of complex and algebraic varieties are recently studied by a combination of geometric and algebraic methods. The structure of a given singularity can be described by means of its classical commutative resolution. Relatively recently, noncommutative resolutions were proposed and intensively studied.We discus recent results and conjectures about the derived categories of singularities and their commutative and noncommutative resolution:These include the null categories of the resolutions, spherical functors, flop-fop functors and Knoerrer periodicity for noncommutative Auslander resolutions.

报告人简介：

Prof. Bondal received his Ph.D. in Steklov Mathematical Institute of RAS in Moscow in 1989. He was an associate professor at Moscow State University from 1990 to 1994. Prof. Bondal joined Steklov institute in 1994, where he was promoted to a leading Researcher.He was an invited speaker at the International Congress of Mathematicians in Beijing in 2002.His research interests include Algebraic and Complex Geometry, Homological Algebra and Representation Theory. Currently, he is visiting the Institute for Physics and Mathematics of the Universe Tokyo University Japan.

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13、秋学期第七周讲座二

报告题目：On cluster braid groups

报告信息来源：中国科学院数学与系统科学研究院

报告人 Speaker：邱宇（清华大学）

时间 Datetime：2023-11-01 15：30-17：00

地点 Venue：Tencent Meeting:907-348-342 Password:123456

报告摘要 Abstract：

We introduce cluster braid groups, with motivations coming from the study of stability conditions on triangulated categories. In the Coxeter-Dynkin case, they are naturally isomorphic to the corresponding Artin's braid groups (1407.5986 and 2310.02871). In the surface case, they are naturally isomorphic to braid twist groups (1407.0806, 1703.10053 and 1805.00030). If time permits, I will mention an application to quadratic differentials.

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报名签到情况：【秋七周讲座二】讲座报名签到.xlsx

12、秋学期第七周讲座一

报告题目：Recent progress on holomorphic Morse inequalities

报告信息来源：中国科学院数学与系统科学研究院

报告人 Speaker：邵国宽（中山大学）

时间 Datetime：2023-11-01 10：00-11：00

地点 Venue：Tencent Meeting:976-602-124 Password:123456

报告摘要 Abstract：

In this talk, we present recent progress on holomorphic Morse inequalities. We first review the history and motivation. Then we introduce recent results on CR manifolds. Finally we give a uniform proof of weak holomorhpic Morse inequalities in various settings.

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报名签到情况：【秋七周讲座一】讲座报名签到.xlsx

11、秋学期第六周讲座四

报告题目：Inverse Problems: Theory and Numerics

报告信息来源：星空体育官方网站

报告人 Speaker：Sergey Kabanikhin(Russian Academy of Sciences)

时间 Datetime：2023-10-27 14：30开始

地点 Venue：海纳苑2幢210室

报告摘要 Abstract：

In this talk, first, I will briefly introduce the international mathematical center at the Siberian Branchof the Russian Academy of Sciences. For my scientific report, I will briefly review the basic mathe-matical theory of general inverse problems. I will also recall some conventional and novel numericaalgorithms for stable solution of ill-posed problems.

报告人简介：

Introduction

Sergey l. Kabanikhin is the Corresponding Member of the Russian Academy of Sciences, the direc-tor of international mathematical center of SB RAS, the head of mathematical methods of geophys-ics of Novosibirsk state university. He is the Editor-in-Chief of many journals including the Journaof lnverse and ll-Posed Problems. He is the First Executive Committee of lnverse Problems lnter.national Association, and the Advisory Members of the EC now. S.l. Kabanikhin is the author of morethan 200 scientific papers, 15 books and the textbook Inverse and ll-Posed Problems, which wasacknowledged the best edition of Sobolev lnstitute of Mathematics in 2008 and entered the list of the14 best books published in the Siberian Branch of the Russian Academy of Sciences (2009)

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10、秋学期第六周讲座三

报告题目：Data Collection and Machine Learning with Privacy Preservation

报告信息来源：北京大学统计科学中心

报告人 Speaker：蔡宁 (香港科技大学(广州))

时间 Datetime：2023-10-26 11：00-12：00

地点 Venue：Tencent Meeting:707-648-078

报告摘要 Abstract：

Data contain valuable information that could play important roles in decision making, but many data are sensitive in areas such as finance, economics, and life science. How to collect and analyze data while still protecting individual privacy has attracted increasing attention from researchers, practitioners, and policymakers. We propose a privacy-preserving data collection algorithm that allows a central administration to collect the data set while still preserving individual privacy. Moreover, we demonstrate the applications of our algorithm to machine learning.

报告人简介：

Ning Cai is currently professor and thrust head of the Thrust of Financial Technology at the Hong Kong University of Science and Technology (Guangzhou) (HKUST(GZ)). Previously, he taught at HKUST as assistant professor, associate professor, and professor sequentially. He received both MS and PhD at Columbia University and both BS and MS at Peking University. His research interests include FinTech, financial engineering, applied probability, and stochastic modeling. He serves as associate editor or editorial board member of seven international scholarly journals, including Operations Research, Operations Research Letters, Stochastic Models, and Digital Finance.

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报名签到情况：【秋六周讲座三】讲座报名签到.xlsx

9、秋学期第六周讲座二

报告题目：Original energy diminishing Runge-Kutta methods for gradient flows

报告信息来源：星空体育官方网站

报告人 Speaker：杨将(南方科技大学)

时间 Datetime：2023-10-23 16：30开始

地点 Venue：海纳苑2幢210室

报告摘要 Abstract：

As gradient flows, energy dissipation is an intrinsic property of phase-field models. High performance energy stability preserving numerical schemes are highly desired. Recent decades, many such well known numerical schemes are developed, such as convex splitting, stabilization technique, IEQ approach, SAV approach, and etc. Basically, most high-order energy stability preserving schemes are multistep methods and the so-called energy stability is established via modified energy. In this talk, I will introduce several single step linear Runge-Kutta (RK) methods, including explicit RK (EX-RK) methods, implicit explicit RK (IMEX-RK) methods and exponential time differencing Runge-Kutta (ETD-RK) methods. All these RK methods are shown to preserve the original energy decaying property. For EX-RK and IMEX-RK methods, only using the butcher table we provide a systematical framework to determine whether a scheme can preserve theenergy stability or not. We prove the original energy stability based on the Lipschitz continuity assumption of nonlinear terms and a transformation of the nonlinear stability into quadratic form stability via a novel technique.

报告人简介：

杨将，国家特聘青年专家，现为南方科技大学数学系副教授。分别于2010年和2014年在浙江大学和香港浸会大学取得学士学位和博士学位，并于2014-2017年在宾夕法尼亚州立大学和哥伦比亚大学从事博士后研究工作，随后在南方科技大学工作至今。从事计算数学方向的研究，主要研究兴趣包括星空体育官方网站相场模型和非局部模型的建模、计算与应用。主持广东省自然科学基金项目1项、国家自然科学基金面上项目2项。共发表论文30余篇，包括SIAM Review、SINUM、SISC、JCP、SIAP等计算数学领域国际知名期刊。

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8、秋学期第六周讲座一

报告题目：Parametric finite element approximations of geometric flow of surfaces in three-dimensional space

报告信息来源：星空体育官方网站

报告人 Speaker：李步扬(香港理工大学)

时间 Datetime：2023-10-23 15：00开始

地点 Venue：海纳苑2幢210室

报告摘要 Abstract：

We briefly review the origin and development of parametric finite element methods forgeometric flowof surfacesin the three-dimensional space, and thenreport some recent progress on the construction of new algorithmsto improve the mesh quality of the approximate surfaces, aswell as the development of new analysis to prove convergence of the numerical approximations.

报告人简介：

李步扬博士2012 年于香港城市大学获得博士学位，先后在南京大学、（德国）图宾根大学、香港理工大学从事科研和教学，现为香港理工大学应用数学系教授。他的主要研究领域为偏微分方程的数值计算和数值分析，包括几何曲率流的有限元逼近和分析、非线性色散和波动方程不光滑解的计算方法、不可压Navier–Stokes 方程的计算和分析、Helmholtz 方程的PML 方法、非线性抛物方程、相场方程、分数阶偏微分方程的数值方法，有限元法、谱方法、convolution quadrature，等等。曾获2022年香港数学会青年学者奖，2023年香港研究资助局研究员奖，现为计算数学杂志Mathematics of Computation, SIAMJournal on Numerical Analysis, IMA Journal of Numerical Analysis等杂志编委。

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7、秋学期第五周讲座七

报告题目：有理函数的乘子谱

报告信息来源：星空体育官方网站

报告人 Speaker：谢俊逸 (北京大学)

时间 Datetime：2023-10-20 16：00开始

地点 Venue：海纳苑2幢210室

报告摘要 Abstract：

将黎曼球上一个次数至少2的有理函数f的所有周期点上的乘子收集起来，成为f的乘子谱。乘子谱仅与f共扼下的等价类有关。一个自然的问题是: 如何通过乘子谱反过来刻画f。这可以看成是复动力系统中的“听音辨鼓”问题。本报告我们将介绍有关乘子谱的若干问题，以及最近与翼诸超在这些问题上取得的进展。

报告人简介：

谢俊逸，北京大学国际数学研究中心讲席教授。曾读于中国科学技术大学、巴黎高等师范学院和巴黎第七大学，于2014年获巴黎综合理工大学博士学位。主要研究算术动力系统以及与之相关的代数几何、丢番图几何和复动力系统问题，研究成果发表于Acta Math.、J.Amer.Math.Soc.、Invent.Math.以及Duke Math.等国际高水平杂志。

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6、秋学期第五周讲座六

报告题目：圆周扩张映射上的一维线性斜积

报告信息来源：星空体育官方网站

报告人 Speaker：沈维孝 (复旦大学)

时间 Datetime：2023-10-20 15:00-16:00

地点 Venue：海纳苑2幢210室

报告摘要 Abstract：

本报告讨论圆周扩张映射上的一维线性斜积的迭代。我们介绍这类映射的研究历史及其与Bernoulli卷积、Weierstrass函数图像的维数、遍历优化等问题的联系。我们介绍近期的-个横截性结果及其在相关问题中的应用。本报告基于和高睿、任浩杰的合作研究。

报告人简介：

沈维孝，上海数学中心首席专家、复旦大学数学科学学院教授。1995年毕业于中国科学技术大学，2001年在东京大学获得博士学位。曾任中国科学技术大学教授、新加坡国立大学杰出教授。2009年陈省身数学奖获得者，2014年国际数学家大会邀请报告人，2021年科学探索奖获得者，2023年获得腾讯首期“新基石研究员项目”资助。从事动力系统的研究，与合作者解决了实Fatou猜想、对一维实和复动力系统的吸引子和统计性质以及Weierstrass函数图像的维数等问题作了深入研究，研究成果发表于Ann.Math.(4篇)、Invent.Math.( 5篇) 等国际高水平杂志。

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5、秋学期第五周讲座五

报告题目：非线性椭圆k-Hessian方程的Green函数估计与外问题

报告信息来源：中国科学院数学与系统科学研究院

报告人 Speaker：麻希南 (中国科学技术大学)

时间 Datetime：2023-10-19 16：00-17：00

地点 Venue：腾讯会议：443-650-775

报告摘要 Abstract：

我们先介绍从1980年代开始广泛研究的非线性椭圆k-Hessian方程。它的第一个系统研究是Caffarelli-Nirenberg-Spruck在1985年的星空体育官方网站Dirichlet问题可解性。椭圆k-Hessian方程与经典几何;Kahler几何黎曼几何等紧密联系。我们将介绍k-Hessian算子Green函数的存在性与相关估计，以及k-Hessian方程外问题的存在性及估计。它是与张德凯，高正焕博士的合作工作。

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4、秋学期第五周讲座四

报告题目：Equivalence of different solutions to double phase equations

报告信息来源：中国科学院数学与系统科学研究院

报告人 Speaker：张超 (哈尔滨工业大学)

时间 Datetime：2023-10-18 15：00-16：00

地点 Venue：腾讯会议：755-708-698

报告摘要 Abstract：

Double phase functionals were first introduced by V. V. Zhikov in 1980s to characterize the features of the strongly anisotropic materials, homogenization and Lavrentiev phenomenon. Since M. Colombo and G. Mingione solved the basic regularity issue on such functionals in 2015, the relevant theory on this kind of problems has made rapid progress from the variational point of view, but, in sharp contrast, viscosity theory is rarely explored. In this talk we present the regularity of viscosity solutions to double phase equations, together with the inner relationship between such solutions and the weak solutions in Musielak-Orlicz-Sobolev space.

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报名签到情况：【秋学期第五周讲座四】报名签到表.xlsx

3、秋学期第五周讲座三

报告题目：Intersection cohomology in combinatorics

报告信息来源：星空体育官方网站

报告人 Speaker：王博潼Buotuo Wang (University of Wisconsin–Madison)

时间 Datetime：2023-10-17 16：15-17：15

地点 Venue：海纳苑2幢210室

报告摘要 Abstract：

Many important posets (partially ordered sets) in combinatorics have algebriac interpretations. We will go over three families of examples: toric varieties, Schubert varieties and matroid Schubert varieties. We will discuss how to translate some of the combinatorical invariants into the geometric ones, and the application of intersection cohomology groups in solving combinatorical problems.

报告人简介：

王博潼，2006年本科毕业于北京大学，2012年获得普渡大学博士学位，目前是威斯康星大学麦迪逊分校数学系副教授。在2019年获美国斯隆奖。研究兴趣主要是代数簇的拓扑学，以及将其应用于组合数学、代数统计等方面。与June Huh（2022年Fields奖得主）合作，于2017年证明了组合数学中著名的Dowling-Wilson猜想。

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2、秋学期第五周讲座二

报告题目：Stable homotopy groups of spheres and motivic homotopy theory

报告信息来源：星空体育官方网站

报告人 Speaker：徐宙利Zhouli Xu (University of California San Diego)

时间 Datetime：2023-10-17 15：00-16：00

地点 Venue：海纳苑2幢210室

报告摘要 Abstract：

The computation of stable homotopy groups of spheres is one the most fundamental problems in topology. It has connections to many topics in topology, such as cobordism theory and the classification of smooth structures on spheres.

In this talk, we will survey some classical methods, explain their difficulty via Mahowald’s Uncertainty Principles, and describe a new technique using motivic homotopy theory. This new technique yields streamlined computations through previously known range, and gives new computations through dimension 90.

报告人简介：

徐宙利，2008年本科毕业于北京大学，2017年获得芝加哥大学博士学位，目前是加州大学圣迭戈分校数学系副教授。徐宙利的研究方向是代数拓扑，主要从事球面同伦群的研究，与合作者在球面稳定同伦群的计算上取得了重大突破，受邀在2022年国际数学家大会上做分会报告。

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报名签到情况：【秋学期第五周讲座二】报名签到表.xlsx

1、秋学期第五周讲座一

报告题目：School Colloquium—AI助力蛋白质与RNA结构预测

报告信息来源：星空体育官方网站

报告人 Speaker：杨建益(山东大学)

时间 Datetime：2023-10-16 14：00开始

地点 Venue：海纳苑2幢210室

报告摘要 Abstract：

近年来，AI的成功应用使蛋白质结构预测取得了突破性进展，涌现出AlphaFold2等代表性方法。课题组开发了trRosetta等蛋白质结构预测算法，荣获2022年第15届国际蛋白质结构预测竞赛 (CASP15)的冠军。进一步，我们借鉴蛋白质结构预测的思想，开发了RNA三级结构预测算法trRosettaRNA。我将介绍主要进展和未来挑战。

报告人简介：

杨建益，山东大学教授、博导，国家杰出青年科学基金获得者。曾就职于密歇根大学、南开大学等高校，获2022年度天津市自然科学一等奖。长期专注蛋白质与RNA结构预测算法研究工作，成果发表于Nature Methods、PNAS等期刊。论文被他引上万次，入选爱思维尔中国高被引学者。

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报名签到情况：【秋学期第五周讲座一】报名签到表.xlsx