Introduction / 课程简介 第一章 多复变的起源与基本问题 第二章 多变量全纯函数、复流形与全纯映射 第三章 解析函数的延拓，全纯域与拟凸域，多次调和函数 第四章 Cauchy-Riemann方程的L^2估计及其应用 第五章 B...
Abstract: Given a singularity with a crepant resolution, a symmetry of the derived category of coherent sheaves on the resolution may often be constructed. I discuss work in progress on general
Abstract: There are various classical duality theorems such as Schur-Weyl duality, Howe duality etc. We prove the versions of these theorems for current and related Lie algebras. I will explain how
Abstract Motivated by studies of axially symmetric stationary solutions of the Einstein vacuum equations in general relativity, we study singular harmonic maps from the 3-dimensional Euclidean spac...
摘要 量子纠缠，这一量子力学中极其独特且神秘的现象，自20世纪30年代首次被提出以来，便持续成为理论和实验物理学家的关注焦点。本讲座将探讨量子纠缠在众多领域中的应用，尤其强调其在凝聚态物理和量子计算领域...
Introduction We will discuss best practices for writing mathematical papers and giving mathematical lectures. Students will have opportunities to present and get constructive feedback. This will b
Abstract
Abstract: We consider a biased random walk on dynamical percolation and discuss the existence and the properties of the linear speed as a function of the bias. In particular, we establish a simple
Seminar Series on Fano Varieties, Singularities, and Related Topics This is an online learning seminar series on Birkar's multiple work on Fano varieties, singularities, and related topics. The foc...
