Previous Special Year Seminar
The affine Hecke category is a monoidal colimit
James Tao
3:00pm|Simonyi Hall 101 and Remote Access
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...
Gaitsgory's central sheaves
3:00pm|Simonyi Hall 101 and Remote Access
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...
Tilting Character Computations II
In this talk, we will put together all ingredients we have seen
in the last couple of talks to describe the algorithm to calculate
tilting characters for reductive algebraic groups in the
anti-spherical module. We will try to illustrate the most...
Arun Kannan
Continuation of the talk from Feb 4.
Equivariantization and de-equivariantization
3:00pm|Simonyi Hall 101 and Remote Access
This is the second in a series of talks on "two realizations."
We discuss equivariantization and de-equivariantization for a group
$G$, which relate categories with $G$-actions and categories with
RepG-actions, and how this relates to the notion of...
Tilting character computations
Last week, Ben explained how diagrammatic algebra helps
understand tilting characters. In Ben's talk the diagrammatic
algebra was that of Temperley-Lieb flavour and its higher rank
cousins (webs etc.) I will briefly recall the diagrammatics for
the...
Arun Kannan
The talk covers Chapter 6 in Jantzen's book.
The K-ring of Steinberg varieties
3:00pm|Simonyi Hall 101 and Remote Access
In the upcoming series of talks we discuss some equivalences by
Bezrukavnikov between categories of coherent sheaves on Steinberg
varieties and of perverse sheaves on the affine flag variety. In
this talk I discuss the decategorified isomorphism...
