Uniformizing Bun(G) by the affine Grassmannian

Thu, 01/12/2011
15:00
Kobi Kremnitzer (Oxford) Representation Theory Seminar Add to calendar L3
I'll present the work of Gaitsgory arXiv:1108.1741. In it he uses Beilinson-Drinfeld factorization techniques in order to uniformize the moduli stack of G-bundles on a curve. The main difference with the gauge theoretic technique is that the the affine Grassmannian is far from being contractible but the fibers of the map to Bun(G) are contractible.