Abstract: We obtain a Le Potier-type isomorphism theorem which relates holomorphic vector bundles with multiplier submodule sheaves associated to strongly Nakano semi-positive singular hermitian
Abstract: Nevanlinna Theory is a theory about meromorphic functions, and it has a good analogy with Diophantine Approximation. This analogy is the source of the idea that we hope to establish
内容简介 群是数学中重要的概念,同时也是重要的思想。群的思想很早就产生了,经过几代人的探索,最终凝练成今天所见的形式。群的思想主要来源于三个方面的研究:代数方程、数论和几何。在代数方程的研究中,人们...
Prerequisite Elementary multivariate calculus, elementary statistics. Some basic General Relativity and Statistical Mechanics may help in following the applications. Abstract The course is targeted
Abstract Many interesting examples of discrete integrable systems can be studied from the geometric point of view. In this talk we will consider two classes of examples of such system: autonomousan...
Abstract: In this talk, I will talk about the joint work with Wen Chang, Bing Duan, and Chris Fraser on quantum affine algebras of type A and Grassmannian cluster algebras. Let g=sl_k and U_q(^g
Abstract: 病毒颗粒是一种精准的纳米机器。结构决定功能,病毒结构研究有助于理解其入侵、复制、组装等生命周期,同时也有助于相关的疾病防控、药物设计、疫苗开发等。多数病毒颗粒由一个二十面体对称的衣壳和衣...
Abstract: We will discuss some applications of microlocal analysis to inverse problems, in particular the back scattering problem, Calderon's problem and inverse problems for nonlinear equations.
Abstract The study of the moduli spaces of algebraic curves and coherent sheaves, and their induced invariants over ambient complex kahler varieties of complex dimension 2, 3 and higher, has been
Prerequisite Basic knowledge on numerical methods for partial differential equations and machine learning methods Abstract This course reviews the publications of the recent years on using machine