Weyl groups and Hecke algebras: finite, affine, and double affine
Speaker: Dr Dinakar Muthiah
Affiliation: University of Glasgow (Scotland)
Abstract
I will begin by discussing (finite and affine) Weyl groups and Hecke algebras, focusing on the examples of the symmetric group and the special linear group. In these cases much of the structure is controlled by Coxeter combinatorics. I will then shift attention to Iwahori-Hecke algebras of p-adic loop groups, which are closely related to double affine Hecke algebras. Here the analogue of Coxeter combinatorics is still mysterious, so I will explain what is known and what is not.
About Maths Colloquium
The Mathematics Colloquium is directed at students and academics working in the fields of pure and applied mathematics, and statistics.
We aim to present expository lectures that appeal to our wide audience.
Information for speakers
Information for speakers
Maths colloquia are usually held on Mondays, from 2pm to 3pm, in various locations at St Lucia.
Presentations are 50 minutes, plus five minutes for questions and discussion.
Available facilities include:
- computer
- data projector
- chalkboard or whiteboard
To avoid technical difficulties on the day, please contact us in advance of your presentation to discuss your requirements.