Algebra seminar - Damiano Rossi
| Dates: | 30 January 2024 |
|---|
| Times: | 14:00 - 15:00 |
|---|
| What is it: | Seminar |
|---|
| Organiser: | Department of Mathematics |
|---|
| Who is it for: | University staff, External researchers, Current University students |
|---|
| Speaker: | Damiano Rossi |
|---|
|
Title: Above the Alperin Weight Conjecture
Abstract: Modular representation theory is the study of representations of finite groups defined over a field of positive characteristic p, where p is a prime. According to the local-global principle, many aspects of the p-modular representation theory of a group are determined by its p-local structure. The Alperin Weight Conjecture predicts that the number of irreducible p-modular representations of a group (a global invariant) coincides with the number of its p-weights (a local invariant). In this talk, I will introduce an extension of the Alperin Weight Conjecture that was recently introduced by Navarro: this statement unifies Alperin's conjecture with a famous character correspondence known as the Glauberman correspondence. I will then show how to reduce Navarro's conjecture to a question about quasi-simple groups. This is joint work with J. M. MartÃnez and N. Rizo.
Speaker
Damiano Rossi
Organisation: Loughborough University
Travel and Contact Information
Find event
Frank Adams 1
Alan Turing Building
Manchester
