Tuesday 18 February 2025, 16:00 - 17:00 in HG00.307
Job Kuit (Paderborn)
On the little Weyl group of a real spherical space
Let G be a connected reductive group defined over a field k of characteristic 0. Recently Knop and Krötz showed that one can attach a Weyl group to any algebraic homogeneous G-variety defined over k. This Weyl group is called the little Weyl group. In this talk I will discuss a geometric construction of the little Weyl group for a real spherical space G/H. Our technique is based on a detailed analysis of limits of conjugates of the Lie algebra of H in the Grassmannian of subspaces of the Lie algebra of G. (This is joint work with Eitan Sayag.)