Algebra seminar - Jay Taylor
| Dates: | 29 April 2025 |
|---|
| 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: | Jay Taylor |
|---|
|
Title: Modular Reduction of Nilpotent Orbits
Abstract: If () is a finite reductive group, where is a prime power, then Lusztig has defined a set of complex irreducible characters UCh(()) called the unipotent characters of the group. Somewhat remarkably these characters are parameterised independently of .
The Lie algebra of the underlying algebraic group admits a ?-form ? ? whose elements make sense for any . In this talk I will outline joint work with Adam Thomas (Warwick) where we find nilpotent elements of ? which behave very well when reduced modulo any prime. Moreover, I will explain the relationship with Lusztig's classification of unipotent characters.
Speaker
Jay Taylor
Organisation: University of Manchester
Travel and Contact Information
Find event
Frank Adams 1
Alan Turing Building
Manchester
