Perverse equivariant sheaves on loop Lie algebras, and affine Springer theory

Jun 14, 2018, 11:45 AM
1h
Centre de Conférences Marilyn et James Simons (Le Bois-Marie)

Centre de Conférences Marilyn et James Simons

Le Bois-Marie

35, route de Chartres 91440 Bures-sur-Yvette

Speaker

Y. Varshavsky (Hebrew University of Jerusalem)

Description

This is a joint work with A. Bouthier and D. Kazhdan. Let G be a connected reductive group, and let LG be the corresponding loop group. Our main goal is to construct a "perverse" t-structure on the derived category of Ad LG-equivariant sheaves on LG and to show that the affine Grothendieck-Springer sheaf belongs to its core. More precisely, we construct the t-structure on the derived category of LG-equivariant sheaves supported on bounded regular semi-simple elements of LG, and we only consider its Lie algebra analog.

Presentation materials