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

Introduction to Resurgent Transseries and Alien Calculus on the Example of Saddle-Node ODEs

Abstract  Resurgence Theory has become a fixture in the past decade's mathematics/physics research literature, with applications ranging from wall-crossing phenomena and exact WKB method

Non-fillable contact structures on spheres and applications

Abstract  Understanding the landscape of contact structures on spheres is a foundamental question in contact topology. In this talk, I will explain the joint work with Bowden, Gironella and Moreno ...