# Seminar: Schubert Varieties in the Affine Grassmannian and Hecke Modifications of Vector Bundles

Speaker: Michael Wong, EPF Lausanne

2012.11.22 | Christine Dilling

 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.

Public/media, Staff, Seminar