Cohomology of Arithmetic Groups
I will talk about the basics of cohomology of arithmetic groups focusing on Harder's new book. I will start from simplest cases of the group SL_2 over Z (which covers the chapter 2 and 3 of the book of Harder) and try to be as concrete as possible. The goal is to under these cohomology groups from the point of view of geometry and arithmetic. I will also explain the general cases if time permitted.
Lecturer
Date
10th March ~ 30th June, 2023
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Friday | 15:20 - 17:50 | A3-2a-201 | ZOOM 08 | 787 662 9899 | BIMSA |
Prerequisite
Basic algebraic topology and number theory
Syllabus
Cohomology of arithmetic groups, locally symmetric spaces, automorphic forms, Langlands program
Reference
Harder, Günter. "Cohomology of arithmetic groups. http://www.math.uni-bonn.de/people/harder/Manuscripts/buch/Volume-III-07.-08.-2022v3.pdf
Audience
Undergraduate
, Graduate
Video Public
No
Notes Public
No
Language
English
Lecturer Intro
Dr. DENG Taiwang has joined BIMSA in November 2022 as an Assistant Professor. His research interests are in the Langlands program (broadly speaking, the arithmetic, analytic and representation aspects of it). He obtained a Phd in Mathematics from the University of Paris 13. Previously, he has held the postdoctorial positions in Bonn University, the Max Planck Institute of Mathematics in Bonn and Tsinghua University.