Deformation theory of complex manifolds via DGLA
In this lecture, we study parametric variation of a specific mathematical structure; in particular, the holomorphic structure of complex manifolds. Inspired by Quillen, Deligne, Drinfeld et al, every deformation problem is governed by a differential graded Lie algebra (DGLA). Nowadays this approach to deformation theory is a very active area of research. To keep the beginners friendly, this lecture is designed to give a classical introduction to deformation of compact complex manifolds.
Lecturer
Date
15th March ~ 7th June, 2022
Website
Prerequisite
Complex manifold, Lie algebra, Algebraic topology.
Video Public
Yes
Notes Public
Yes
Lecturer Intro
Hu chuangqiang joined Bimsa in the autumn of 2021. The main research fields include: coding theory, function field and number theory, singularity theory. In recent years, he has made a series of academic achievements in the research of quantum codes, algebraic geometric codes, Drinfeld modules, elliptic singular points, Yau Lie algebras and other studies. He has published 13 papers in famous academic journals such as IEEE Trans. on IT., Final Fields and their Applications, Designs, Codes and Cryptography. He has been invited to attend domestic and international academic conferences for many times and made conference reports.