Jeremie Guilhot (University of Sydney)

Friday 19th September, 12.05-12.55pm, Carslaw 159

On the lowest two-sided cell in an affine Weyl group

In this talk, I will present the notion of affine Weyl groups and Kazhdan-Lusztig cells. Using a geometric presentation of an affine Weyl group, I will then establish, in the unequal parameter case, an upper bound for the number of left cells in the lowest two-sided cell, which generalizes the results of Bremke, Xi and Shi.