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...
The anti-spherical modules over the affine Hecke algebras admit
two different realizations: one realization is in terms of the
space of Whittaker functions on the affine flag manifolds and the
other realization, due to Kazhdan-Lusztig, is in terms...
We will discuss the following theorems concerning colimits taken
in the infinity-category of monoidal DG-categories. (No familiarity
with infinity-categories will be required or assumed.) The affine
Hecke category is the monoidal colimit of its...
In this talk we will present two perspectives on the
p-Kazhdan-Lusztig basis and its combinatorics, giving a glimpse of
its complexity. This talk does not provide many answers, but will
hopefully raise many interesting questions and is based on...
A theorem of Bernstein identifies the center of the affine Hecke
algebra of a reductive group $G$ with the Grothendieck ring of the
tensor category of representations of the dual group $G^\vee$.
Gaitsgory constructed a functor which categrorifies...
