Abstract Consider the action of GL_d(Z) on the d-dimensional torus R^d/Z^d. Given a probability

Abstract Chemically reacting flows have many applications in combustion. There are several difficulties in constructing high-order numerical methods: (1) Due to the rapid reaction rate, the system

On the statistics of irreducible subrepresentations in large tensor powers of finite dimensional

Abstract I will explain the solution to the following problem. Given a finite dimensional irreducible representation of a simple Lie algebra, consider its N-th tensor power. It has a decomposition ...

Quantitative equidistribution of linear random walk on the torus

Abstract Consider the action of GL_d(Z) on the d-dimensional torus R^d/Z^d. Given a probability measure on GL_d(Z) and a point on the torus, a random walk is defined. In this talk, I will report so...

On a generalized Kashiwara-Kawai theorem for tame harmonic bundles

Abstract In the 1980s, there was significant progress in the $L^2$-theory of polarized variations of Hodge structure on higher dimensional varieties. In particular, according to the celebrated

Jie Wu, Nanjun Yang, Jingyan Li

Abstract We consider the standard L-function attached to a cuspidal automorphic representation of a general linear group. We present a proof of a subconvex bound in the t-aspect. More generally, we

周三综合报告：周簇的同伦群

Abstract 射影空间中给定次数和维数的有效代数cycle构成的空间，具有代数簇的结构，称为周簇。对周簇结构的了解是代数cycle理论的重要课题。在这个报告中，我们将讨论周簇同伦群的一些相关结果和计算。特别地，我...

Bounds for standard L-functions

Abstract We consider the standard L-function attached to a cuspidal automorphic representation of a general linear group. We present a proof of a subconvex bound in the t-aspect. More generally, we

Limit sets for branching random walks on relatively hyperbolic groups

Abstract Branching random walks (BRW) on groups consist of two independent processes on the Cayley graphs: branching and movement. Start with a particle on a favorite location of the graph. Accordi...

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数学史课程预告 |十九世纪末二十世纪初的俄罗斯数学家

主讲人介绍 丘成桐，国际知名数学家，菲尔兹奖首位华人得主，美国科学院院士、美国艺术与科学院院士，中国科学院外籍院士，俄罗斯科学院外籍院士，台湾中研院院士、现任清华大学求真书院院长、清华大学数学科学中...