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11

2021-06

Complexity of neural networks: classical and quantum

时间：6月11日上午9:30-11:00地点：工商楼200-9报告人：卜凯峰（哈佛大学物理系博士后）摘要：One of the central problems in the study of deep learning theory is to understand complexity of the neural networks. In this talk, we will introduce the topological entropy from dynamic system as a measure of complexity of neural networks. We will also discuss the depth-width trade-offs of neural networks via t...

10

2021-06

Linear Arithmetic Fundamental Lemma and Intersection Numbers for CM Cycles on Lubin-Tate Spaces

Speaker: Qirui Li 李奇芮 (University of Toronto)Time: 3-4 PM, June 10, 2021Venue：Lecture Hall of Institute for Advanced Study in Mathematics, 1st floor of east 7th teaching building, Zhejiang University (Zijingang Campus)Abstract: The central values and derivatives of L-functions are studied in the global Gan-Gross-Prasad conjecture and its arithmetic generalizations. These type of problems ...

10

2021-06

Data Compression in Distributed Learning

报告人：Prof.Ming Yan（Michigan State University）时间：2021年6月10日（周四）13:30-14:30地点：工商楼200-9会议室内容简介：Large-scale machine learning models are trained by parallel stochastic gradient descent algorithms on distributed or decentralized systems. The communications for gradient aggregation and model synchronization become the major obstacles for efficient learning as the number of ...

08

2021-06

Homological properties of some noncommutative products of Algebras

报告人：吴泉水（复旦大学教授）时间：2021年6月8日10:30-11:30地点：玉泉校区逸夫工商管理楼200-9室摘要：Algebras are supposed to describe spaces as functions. As tensor products of algebras corresponding to the usual products for spaces, some noncommutative constructions of algebras are viewed as the functions of the imaginary noncommutative products of spaces. We try to study the regularity or Gorens...

08

2021-06

Examples of non-semisimple Hopf algebra actions on Artin-Schelter regular algebras

报告人：王顶国（曲阜师范大学教授）时间：2021年6月8日9:30-10:30地点：玉泉校区逸夫工商管理楼200-9室摘要：Let k be a base field of characteristic p>0 and let U be the restricted enveloping algebra of a 2-dimensional nonabelian restricted Lie algebra. We classify all inner-faithful U-actions on noetherian Koszul Artin-Schelter regular algebras of global dimension up to three, this is a joint wo...

04

2021-06

Uniqueness and stability of traveling waves to the time-like extremal hypersurface in Minkowski space

报告人：周忆（复旦大学）时间：2021年6月4日（星期五）下午15:40-16:25地点：工商楼412教室摘要：There are a few results about the global stability of nontrivial solutions to quasilinear wave equations. In this paper we are concerned with the uniqueness and stability of traveling wave to the time-like extremal hypersurface in Minkowski space.Firstly, we can get the existence and uniqueness of traveling...

27

2021-05

虚拟制造中的数值计算

报告人：王玮（美国西北大学机械工程系复核材料专业访问学者、晶临软件科技有限公司总经理）时间：2021年5月27日下午4:00-6:00地点：玉泉校区逸夫工商管理楼200-9室摘要：数值仿真是一种基于物理、数学模型，依靠电子计算机，通过数值计算和图像呈现的方式，达到对工程、物理问题研究的技术。其核心是模型和算法的建立，结果呈现则依靠计算机图形学。现阶段数值计算最重要的应用场景是虚拟设计和虚拟制造，它归属于CAE(Computer Ai...

25

2021-05

Falconer's distance set problem

报告人：Xiumin Du (Northwestern University)时间：2021年5月25日（星期二）上午9:00-10:00地点：腾讯会议（会议ID：130 921 098 会议密码：310027）链接:https://meeting.tencent.com/s/bKSKrCPeByhx摘要： A classical question in geometric measure theory, introduced by Falconer in the 80s is, how large does the Hausdorff dimension of a compact subset in Euclidean space need to be to en...

18

2021-05

Quasifinite representations of the Virasoro-like algebra

报告人：苏育才（同济大学数学研究所所长）时间：2021年5月18日（周二）15:30-16:30地点：玉泉校区工商楼200-9摘要:The Virasoro-like algebra, a natural generalization of the well-known Virasoro algebra, is a Lie algebra closely related to Block type or Cartan type Lie algebras. In this talk, we present some results on Quasifinite representations of the Virasoro-like algebra. 联系人：吴志祥（wzx@zju....

14

2021-05

Full stable trace formula for the group Mp(2n)

报告人：李文威（北京国际数学研究中心）时间：2021年5月14（周五）15:20-16:20地点：玉泉校区邵逸夫科学馆211摘要: The metaplectic covering Mp(2n) of Sp(2n) plays a pivotal role in various aspects of representation theory and arithmetics. In order to harness the full power of Arthur's methods in this setting, we need a stable trace formula for Mp(2n). Thus far, only the elliptic terms have been stab...

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