Algebra seminar - Mark Wildon
| Dates: | 25 February 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: | Mark Wildon |
|---|
|
Title: An introduction to plethysm
Abstract: The plethysm product on symmetric functions corresponds to composition of polynomial representations of general linear groups. Decomposing a plethysm product into Schur functions, or equivalently, writing the corresponding composition of Schur functors as a direct sum of Schur functors, is one of the main open problems in algebraic combinatorics. I will give an introduction to these mathematical objects emphasising the beautiful interplay between representation theory and combinatorics. I will end with new results obtained in joint work with Rowena Paget (University of Kent) on stability on plethysm coefficients and with Álvaro R. Martinez (Columbia University, New York) on plethysms in prime characteristic. No specialist background knowledge will be assumed.
Speaker
Mark Wildon
Organisation: University of Bristol
Travel and Contact Information
Find event
Frank Adams 1
Alan Turing Building
Manchester
