Abstract In this talk, we will focus on symmetry of PDE and report some relation with deep learning. It is a well known fact that Lie group is a fundamental tool to describe the symmetry. In
Abstract The defining ideal $I_X$ of a projectively normal Calabi-Yau 3-fold $X$ is arithmetically Gorenstein, of Castelnuovo-Mumford regularity 4. Such ideals have been intensively studied when $I...
Introduction The goal of these lectures is to introduce the roots and developments of the Integrability until modern applications in 1+1-d quantum field theories and 2d statistical mechanics.
主讲人介绍 邢悦博士,清华大学国际关系学系副教授,哈佛大学访问学者,全国“政治学与国际关系教学共同体”秘书长,主要研究领域为文化与国际关系、美国政治与外交、中美关系。曾荣获清华大学青年教师教学优秀奖...
Abstract This is an introductory course on elliptic integrals and elliptic functions for advanced undergraduate students and graduate students who are not familiar with the subject. An elliptic
Abstract in the late 1970s, Fontaine and Wintenberger found that certain interesting fields of characteristic zero and p have the same Galois groups, which eventually led to the theory of perfectoi...
Abstract This report will take you on a journey through the fascinating world of game theory, the mathematical study of how people or groups make decisions in situations where their actions affect
This is an in-person seminar at BIMSA over lunch, aimed to promote communications in the Number Theory teams at BIMSA and YMSC. Each talk is 45 minutes long and does not focus on research results.
Registration Course Description There are two different approaches to Quantum Field Theory. First one was started by Dirac and finally formalized by Segal : space-time is considered as a smooth
Description: We will give an introduction course to the research field called Geometric Langlands Theory (GLT). Roughly speaking, GLT is the analogue of the classical Number-theoretical Langlands