DAHAs of Type $C^\vee C$ and Character Varieties
Organizers
Speaker
Oleg Chalykh
Time
Friday, March 7, 2025 1:00 PM - 2:30 PM
Venue
A3-4-301
Online
Zoom 242 742 6089
(BIMSA)
Abstract
I will describe a relation between certain character varieties of a punctured sphere and DAHAs of type $C^\vee C$ and explain how it can be used to find canonical coordinates for the Atyah--Bott Poisson bracket on these varieties and construct a geometric phase space for the trigonometric Van Diejen's system, a $C^\vee C$-analogue of the Ruijsenaars--Schneider system. This is based on a joint work with Bradley Ryan (Leeds), arxiv.org:2410.23456.