Seminar on Geometric and Modular Representation Theory

A theorem of Bernstein identifies the center of the affine Hecke algebra of a reductive group GG with the Grothendieck ring of the tensor category of representations of the dual group G?G?. Gaitsgory constructed a functor which categrorifies this...

The linkage principle says that the category of representations of a reductive group GG in positive characteristic decomposes into "blocks" controlled by the affine Weyl group. We will discuss the beautiful geometric proof of this result that Simon...