Abstract： The main goal of this course will be to analyze the structure of orbits of polynomial transformations of the affine space of dimension m, with a focus on invertible maps. A large array
Abstract: In this first lecture, I will review the Springer theory of equivariant perverse sheaves on graded Lie algebras, mostly due to Lusztig in the 80s and 90s. Lusztig has proven
摘 要： We will review some currently-studied connections between quantum mechanics and other areas of pure mathematics, focusing on categorical and diagrammatic formulations. In particular, I wil...
摘 要： This is the sequel of the course "On Fusion Categories" given on first semester. It introduces to the notion fusion category, which can be seen as a representation theory of the (finite
摘 要： 统计学习XYZ是课程“统计学习ABC”的续集。本课程主要介绍统计学习的高级模型和算法，以及相关应用。安排时间讲解优秀论文。编写程序演示算法的效果。兼顾知识与趣味。 预备知识： 线性代数、实分析、概...
摘 要： I will give a self-contained exposition of the theory of KZ equations and related topics. I want to focus on the geometry hidden behind solutions of KZ equations, e.g. local systems associ...
摘 要： From the view point of potential theory, infinite graphs form a discrete model of noncompact Riemannian manifolds. For a discrete Laplacian on a network, the corresponding discrete Poisson
Note：Due to the COVID-19，the course will be delivered via zoom from May 6. 课程描述 Description After a brief introduction to differential geometry and global supersymmetry, we will study minimal...
讲座提要： A manifold which is like a projective plane is a simply-connected closed smooth manifold whose homology equals three copies of Z. In this talk I will discuss our computation of the mappi...
讨论班介绍： This seminar "Computational Global Geometry Structures,Topological Materials and Quantum Computer" talks about the algorithms which compute global geometry structures, and furthermore
