Speaker: Michael Wong, EPF Lausanne
2012.11.22 |
Date | Wed 05 Dec |
Time | 15:30 — 16:30 |
Location | Aud. D3 |
Abstract
The affine Grassmannian of a semisimple complex algebraic group is an infinite-dimensional homogeneous space for which many properties analogous to those of finite-dimensional Grassmannians hold. In particular, one can define Schubert varieties, which are singular projective varieties. In the case of $SL_n \mathbb{C}$, I will describe a way of obtaining resolutions of these varieties by means of pairs of Hecke modifications of an associated vector bundle. I will also try to discuss other known methods of obtaining such resolutions.