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

Michael Wong (EPF Lausanne)
Onsdag, 5 december, 2012, at 15:30-16:30, in Aud. D3 (1531-215)
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.
Organiseret af: QGM
Kontaktperson: Jørgen Ellegaard Andersen