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...
