Andrei Ionov

Abstract:  For a real form of an algebraic group acting on the flag
variety we define a t-structure on the category of
equivariant-monodromic sheaves and develop the theory of tilting
sheaves. In case of a quasi-split real form we construct an analog of
a Soergel functor, which fully-faithfully embeds the subcategory of
tilting objects to the category of coherent sheaves on a block
variety. We apply the results to give a new, purely geometric, proof
of the Soergel’s conjecture for quasi-split groups. The talk is based
on the joint work with Zhiwei Yun.