Introduction to Hochschild (co)homology
This lecture explores Hochschild cohomology as a Gerstenhaber algebra in detail, the notions of smoothness and duality, algebraic deformation theory, infinity structures, and connections to the Hochschild-Kostant-Rosenberg decomposition. Useful homological algebra background is provided as well.
Lecturer
Date
13th September ~ 13th December, 2022
Website
Prerequisite
homological algebra
Syllabus
1. Hochschild cohomology;
2. algebraic deformation theory;
3. Hochschild-Kostant-Rosenberg decomposition.
2. algebraic deformation theory;
3. Hochschild-Kostant-Rosenberg decomposition.
Reference
1. Hochschild (co)homology, and the Hochschild–Kostant–Rosenberg decomposition, Pieter Belmans,2018;
2. Hochschild Cohomology for Algebras Sarah J. Witherspoon, 2019
2. Hochschild Cohomology for Algebras Sarah J. Witherspoon, 2019
Audience
Undergraduate
Video Public
Yes
Notes Public
Yes
Language
Chinese
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.