丘成桐先生在求真书院2023年全国优秀大学生冬令营开幕式上的讲话

今天很高兴在这边跟各位同学讲讲关于求真书院的目标。陈志杰副院长讲得很好，他讲了很多关于求真书院这几年发生的重要的事情以及今后的计划。 求真书院有着重要的使命——我们要在中国本土训练出第一批发展数学科...

Mean-field interacting particle systems and McKean-Vlasov equation

Abstract McKean-Vlasov quation describes heat diffusion in porous media and is the limit of propagation of chaos of system of interacting particle systems of mean field with a great number N

Gromov-Witten invariants of elliptic curves and configuration space integrals

Abstract Generating series of enumerative invariants are often suprisingly connected to period integrals. In this lecture I will explain two ways of establishing relations between Gromov-Witten

Moduli spaces of hyperKahler manifolds and cubics

Abstract The study of moduli spaces of hyperKahler manifolds and low dimensional cubic hypersurfaces is an active direction in algebraic geometry. Thanks to kinds of Torelli theorem, many moduli

Fundmental theory of quantum channels

Prerequisite Linear algebra; Matrix analysis Abstract This course will focus on a formal presentation of definitions and theorems on quantum channels in quantum information theory. Numerous

清华大学“求真游目讲座”，培养数学家，从少年抓起

Fusion category symmetries of 1+1d bosonic and fermionic topological field theories

Abstract Generalized symmetries in two-dimensional spacetime are described by the algebraic structure of topological line defects. In particular, when the number of topological lines is finite, the...

A solution to Erdős and Hajnal's odd cycle problem

Abstract In an $n$-vertex graph, it is simple to see that $n$ edges imply the graph has a cycle. However, this cycle can be any length from $3$ to $n$. If we have more edges, do we get cycles of ma...

Intersection of holomorphic curves with generic hypersurfaces

About the Seminar This seminar centered loosely around algebraic dynamics, complex dynamics, and related topics. We meet weekly for a 90-minute talk, with the first 30 minutes aiming towards

An arbitrarily high order unfitted finite element method for elliptic interface problems wi

Abstract In this talk, we consider the reliable implementation of high-order unfitted finite element methods on Cartesian meshes with hanging nodes for elliptic interface problems. We construct