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18

2021-06

数学及其交叉学科前沿论坛第一期——高超声速发动机物理基础和数学问题

17

2021-06

细分基函数的猜想及其证明

报告人：章仁江（浙江工商大学教授）时间：2021年6月21日上午10:00-11:00地点：欧阳楼314摘要：数与形是数学研究的基本对象。在几何设计领域，有一类通过细分操作生成的光滑曲线，由于缺乏细分曲线的解析表达式，它们的解析性质难以分析。章仁江教授最近证明了1986年提出的关于细分基函数的一个猜想。本报告将介绍细分曲线曲面的历史背景，细分基函数的猜想及其证明，并展望对于细分基函数未解决猜想的证明思路。联系人：蔺宏伟（h...

15

2021-06

An iterative algorithm for Dirichlet problem with random conductance

11

2021-06

Model reduction for two-phase flow problems based on the Onsager variational principle

报告人：许现民（中国科学院数学与系统科学研究院）时间：2021年6月11日下午3:00-6:30地点：玉泉校区欧阳纯美楼316室摘要：The Onsager variational principle is a fundamental law for irreversible processes in nonequilibrium statistical physics. It has been used to model many complicated phenomena in soft matter. In this talk, I will give a brief introduction of the principle. In particular, I will sho...

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...

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