求真书院院长丘成桐先生与学生座谈交流

2023年1月8日下午，求真书院院长丘成桐先生与即将返家的书院学生在清华三亚国际数学论坛A122会议室交流座谈。求真书院学生工作组组长张蓥莹、书院综合行政事务主管周至、辅导员代表王哲、黄畅及学生代表出席本次...

On the full Kostant-Toda lattice and the flag varieties

Abstract In 1967, Japanese physicist Morikazu Toda proposed an integrable lattice model to describe motions of a chain of particles with exponential interactions between nearest neighbors. Since th...

Arithmetic groups and their boundary and Eisenstein cohomology III

Abstract The study of arithmetic groups has played a fundamental role in the development of number theory, geometry and representation theory. Automorphic forms have been one of the most important

Heisenberg Spin Chains And Supersymmetric Gauge Theories

Abstract In this talk, we will present how a Heisenberg spin chain emerges from the two-dimensional N=(2,2) gauge theory at an intermediate scale, which relies on the renormalization group flow

Microbiome Data Science - Phylogenetic Tree, Bacterial Growth Rate and Biosynthetic Gene Clusters

Speaker Dr. Hongzhe Li is Perelman Professor of Biostatistics, Epidemiology and Informatics at the Perelman School of Medicine at the University of Pennsylvania. He is Vice Chair of Research

Sparsity of rational points on moduli spaces

Abstract Varieties, if they are at all complicated, are expected to have very few rational points. This might mean “there are only finitely many rational points” or “the rational points are cont...

Arithmetic groups and their boundary and Eisenstein cohomology II

Abstract The study of arithmetic groups has played a fundamental role in the development of number theory, geometry and representation theory. Automorphic forms have been one of the most important

The full Toda system, QR decomposition and geometry of the flag varieties

Abstract The full Toda system is a generalization of an open Toda chain, which is one of the archetypal examples of integrable systems. The open Toda chain illustrates the connection of the theory

Arithmetic holonomy bounds and their applications

Abstract On the heels of the proof of the Unbounded Denominators conjecture (previously presented in this seminar by Yunqing Tang), we discuss an upgraded and refined form of our main technical too...

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