与求真书院共庆两周年生日！

清华大学百十二年校庆志贺 搜美求真地， 清华水木天。 鹏程九万里， 桃实三千年。 壮志图超越， 忧心在众先。 春风常拂照， 奋袂谱新篇。 ——丘成桐先生亲作 喧风酌窗 草木欣荣 2023年4月27日 与求真书院一起 在...

Improved Bounds for Sampling Solutions of Random CNF Formulas

Abstract Let Φ be a random k-CNF formula on n variables and m clauses, where each clause is a disjunction of k literals chosen independently and uniformly. Our goal is, for most Φ, to (approximat...

Meromorphic differentials and Teichmüller space

Abstract In the late 1980s, Nigel Hitchin and Michael Wolf independently discovered a parametrization of the Teichmüller space of a compact surface by holomorphic quadratic differentials. In this

Growth in tensor powers

Abstract This talk is based on joint work with K.Coulembier, P.Etingof, D.Tubbenhauer. Let G be any group and let V be a finite dimensional representation of G over some field. We consider tensor

“数学之美-杰出学者讲坛”系列报告 On the density of polynomial orbits

Exploring Ionic Channels and Cell Membranes Dynamics

Abstract  In my talk, I first show our study on the electrodiffusion in Ionic Channels via Poisson-Nernst-Planck Models and examine ion size effects on the flow rate of matter through

Stable (parabolic) holomorphic vector bundles over complex curves and instanton Floer homology

Abstract  Stable holomorphic bundles are objects in algebraic geometry which have been studied by many people. Instanton Floer homology is an invariant of 3-manifolds, which has been used to solve

盛茂

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Decomposing cubic graphs into isomorphic linear forests

Abstract In 1987 Wormald conjectured that the edges of every cubic graph on 4n vertices can be partitioned into two isomorphic linear forests. We prove this conjecture for large connected cubic

Categorical dynamical systems arising from sign-stable mutation loops

Abstract  A cluster modular group is a symmetry group of the theory of cluster algebras. An element is called a ''mutation loop''. I and T. Ishibashi introduced the notion of sign stability