MIT Lie Groups Seminar
Wednesday, September 30, 2020 at 4:30pm to 5:30pm
Virtual EventFeatured Speaker : Olivier Dudas (CNRS)
Title : Macdonald polynomials and decomposition numbers for finite unitary groups
Abstract : (work in progress with R. Rouquier) In this talk I will present a computational (yet conjectural) method to determine some decomposition matrices for finite groups of Lie type. I will first explain how one can produce a "natural" self-equivalence in the case of $\mathrm{GL}_n(q)$ coming from the topology of the Hilbert scheme of $\mathbb{C}^2$. The combinatorial part of this equivalence is related to Macdonald's theory of symmetric functions and gives $(q,t)$-decomposition numbers. The evidence suggests that the case of finite unitary groups is obtained by taking a suitable square root of that equivalence.
- Event Type
- Events By Interest
- Events By Audience
- Events By School
- Website
- Department
- Department of Mathematics
- Hashtag
- Contact Email
- Add to my calendar
Recent Activity
No recent activity