I will describe a program aimed at understanding numerics of
representations of quantized symplectic resolutions in positive
characteristic. A key ingredient is a generalization of the action
of the affine braid group on the derived category of...
The goal of this talk is two-fold. We state a parabolic version
of the two realizations theorem and sketch a proof. This version
relates Iwahori-constructible sheaves on parabolic affine flag
variety to coherent sheaves on a parabolic version of the...
In the last talk of this series, we discuss the microlocal
criterion for regular singularities of a D-module, and the
existence of special filtrations on regular holonomic
microdifferential modules. This allows us to define a
D-module-theoretic...
I will start with a few comments on the proof of the equivalence
presented in the previous talks. Then I will focus on the
description of the abelian category of perverse sheaves on the
affine flag variety on the coherent side, where the answer
is...
We introduce basic tools of the trade: the Fourier-Sato
transform, specialisation, Sato's microlocalisation and the
microhom functor, culminating with a concrete description of the
morphisms in our category of microlocal sheaves. We use
quantized...
In this talk we will begin the discussion of the results in
Bezrukavnikov's "On Two Geometric Realizations of the Affine Hecke
algebra". We will put all the previous tools described in this
series of talks together to construct the equivalence of...
We will study the singularities of sheaves on a manifold via the
symplectic geometry of its cotangent bundle, following the work of
Sato, Kashiwara, Schapira and others. We will then see how to
organise this information into a sheaf of categories...
