University of Sydney Algebra Seminar

Jeremie Guilhot (University of Sydney)

Friday 27th March, 12.05-12.55pm, Carslaw 375

Semicontinuity properties of Kazhdan-Lusztig cells in affine Weyl groups of rank 2

In this talk I will introduce the semicontinuity conjecture of Cedric Bonnafe concerning the behaviour of the Kazhdan-Lusztig cells when the parameters are varying. I will then describe the partition into cells of the affine Weyl groups of rank 2 and show that the semicontinuity conjecture hold in these cases.