首页 > 信息公告

“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 5352

34、冬学期第八周讲座

数院内部报告

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

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：【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.

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

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.

报名链接：https://form.zju.edu.cn/#/dform/genericForm/nvsoC5y6

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.

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

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：ky开元官网(中国)有限公司

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。

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

线下签到

报名签到情况：【冬四周讲座三】讲座报名签到.xlsx

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：ky开元官网(中国)有限公司

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。

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

线下签到

报名签到情况：【冬四周讲座二】讲座报名签到.xlsx

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：ky开元官网(中国)有限公司

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。

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

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.

报名链接：https://form.zju.edu.cn/#/dform/genericForm/euV4Bk9G

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。

报名链接：https://form.zju.edu.cn/#/dform/genericForm/Upcz9xEM

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：ky开元官网(中国)有限公司

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。

报名链接：https://form.zju.edu.cn/#/dform/genericForm/wAuE0keI

线下签到

报名签到情况：【冬二周讲座三】讲座报名签到.xlsx

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.

报名链接：https://form.zju.edu.cn/#/dform/genericForm/jSEkDlT8

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

报告取消。

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 ky开元官网(中国)有限公司

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。

报名链接：https://form.zju.edu.cn/#/dform/genericForm/pIkL8oAA

线下签到

报名签到情况：【冬一周讲座三】讲座报名签到.xlsx

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：ky开元官网(中国)有限公司

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;ky开元官网(中国)有限公司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。

报名链接：https://form.zju.edu.cn/#/dform/genericForm/1fYwp08R

线下签到

报名签到情况：【冬一周讲座二】讲座报名签到.xlsx

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：ky开元官网(中国)有限公司

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。

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

线下签到

报名签到情况：【冬一周讲座一】讲座报名签到.xlsx

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：ky开元官网(中国)有限公司

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。

报名链接：https://form.zju.edu.cn/#/dform/genericForm/B872ymS9

线下签到

报名签到情况：【秋八周讲座三】讲座报名签到.xlsx

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：ky开元官网(中国)有限公司

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.

报名链接：https://form.zju.edu.cn/#/dform/genericForm/1pZj4zLF

线下签到

讲座最终因为报告人受伤而取消

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：ky开元官网(中国)有限公司

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.

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

线下签到

报名签到情况：【秋八周讲座一】讲座报名签到.xlsx

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.

报名链接：https://form.zju.edu.cn/#/dform/genericForm/8Ozw2foj

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.

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

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：ky开元官网(中国)有限公司

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)

报名链接：https://form.zju.edu.cn/#/dform/genericForm/wozoR08C

线下签到

报名签到情况：【秋六周讲座四】讲座报名签到.xlsx

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.

报名链接：https://form.zju.edu.cn/#/dform/genericForm/TKdCV1TN

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：ky开元官网(中国)有限公司

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ky开元官网(中国)有限公司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。

报名链接：https://form.zju.edu.cn/#/dform/genericForm/F9EnAQA4

线下签到

报名签到情况：【秋六周讲座二】讲座报名签到.xlsx

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：ky开元官网(中国)有限公司

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。

报名链接：https://form.zju.edu.cn/#/dform/genericForm/z12W17ga

线下签到

报名签到情况：【秋六周讲座一】讲座报名签到.xlsx

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：ky开元官网(中国)有限公司

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。

报名链接：https://form.zju.edu.cn/#/dform/genericForm/Ittk4r3q

线下签到

报名签到情况：【秋五周讲座七】讲座报名签到表.xlsx

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：ky开元官网(中国)有限公司

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。

报名链接：https://form.zju.edu.cn/#/dform/genericForm/0ZcBX3iy

线下签到

报名签到情况：【秋五周讲座六】讲座报名签到表.xlsx

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ky开元官网(中国)有限公司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。

报名链接：https://form.zju.edu.cn/#/dform/genericForm/JqSQ0goz

入会后请修改名称为【真实姓名+学号后四位】，否则不予以签到，以防万一可以留存一张参会截图凭证

报名签到情况：【秋学期第五周讲座五】报名签到表.xlsx

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.

报名链接：https://form.zju.edu.cn/#/dform/genericForm/LneF1jVn

入会后请修改名称为【真实姓名+学号后四位】，否则不予以签到，以防万一可以留存一张参会截图凭证

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：ky开元官网(中国)有限公司

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。

报名链接：https://form.zju.edu.cn/#/dform/genericForm/xz10CWp8

线下签到

报名签到情况：【秋学期第五周讲座三】报名签到表.xlsx

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：ky开元官网(中国)有限公司

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。

报名链接：https://form.zju.edu.cn/#/dform/genericForm/fuQ9QEsq

线下签到

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：ky开元官网(中国)有限公司

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。

报名链接：https://form.zju.edu.cn/#/dform/genericForm/noSgdLl6

线下签到

报名签到情况：【秋学期第五周讲座一】报名签到表.xlsx