Holden Jack David

多复变函数及其应用

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...

Derived symmetries for crepant resolutions of hypersurfaces

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

Geometric Representation Theory Seminar | Duality theorems for Iwahori Lie algebras and Highest

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

odern Mathematics Lecture Series | Asymptotic analysis for harmonic maps with prescribed

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...

科学史讲座预告 | 第五十讲：纠缠的量子物质：从凝聚态物理到量子计算机 求真书院

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...

Mathematical communication

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

Topics in probability for graduate students

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

Dirichlet Problem for a Class of Nonlinear Degenerate Elliptic Operators with Critical Growth an

Abstract

Biased Random Walk on Dynamical Percolation

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