Previous Special Year Seminar

I'll review results and examples of the invariance and monodromy of microlocal sheaves under mutations of their support. Then I'll suggest some problems in geometric representation theory where we would like to apply such techniques.

The talk introduces the Kazhdan-Lusztig categories of representations of affine Lie algebras

I will present a finite-dimensional quiver algebra whose representations are equivalent to the category of Schubert-constructible perverse sheaves on the Grassmannian $Gr(k,n)$. The functor inducing the equivalence is constructed by analyzing the...

Continuation from last time.

I will start by recalling the notion of microlocal perverse sheaves and then briefly explain meldings. The rest of the talk is devoted to explaining the ideas involved in the proof of the codimension-three conjecture.

We discuss modular representations of reductive algebraic groups and then proceed to representations of quantum groups at roots of unity