我们这十年 | 求真书院&化学系2022年社会实践总结

专访丘成桐：打好数学强国“底子”

The Postdoc workshop A - Fall Semester 2022

Non-abelian Hodge theory and higher Teichmüller spaces

Abstract: Non-abelian Hodge theory relates representations of the fundamental group of a compact Riemann surface X into a Lie group G with holomorphic objects on X known as Higgs bundles, introduce...

Perverse sheaves on affine flag varieties and coherent sheaves on the dual Steinberg variety

Abstract: We will report on an ongoing project with R. Bezrukavnikov and L. Rider which aims at constructing an equivalence of categories lifting to the categorical level the comparison between

TQFT and Knot seminar Introduction to Chern-Simons theory (I)

Abstract:  At the first discussion, we have introduced the general framework of TQFT. This time we will discuss the properties of Chern-Simons theory in detail, which is a very important kind

Revisiting Jacobi-Trudi identities via the BGG category O

Abstract:  The talk aims to introduce two problems I am thinking about. I will first give a new proof (joint with Arthur L. B. Yang) of the (generalized) Jacobi-Trudi identity via the BGG category ...

On splitting methods for the Dirac equation in the nonrelativistic limit regime

Abstract:  We establish error bounds of the Lie-Trotter splitting and Strang splitting for the Dirac equation in the nonrelativistic limit regime in the absence of external magnetic potentials. In

Modulated Free Energy and Mean Field Limit

Abstract:  We prove the mean field limit and quantitative estimates for many-particle systems with singular attractive interactions between particles. As an important example, a full rigorous

Algebraic Geometry Seminar Zero-cycles on geometrically rational surfaces

Abstract Let k be a field of characteristic zero. In 1974, D. Coray showed that on a smooth cubic surface over k, with a point over a field extension K of k of degree prime to 3, there exists suc