Previous Special Year Seminar
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...
User's guide to computing with tilting modules
A basic technique in algebra, when describing a
difficult-to-approach category like Tilt, is to choose a projective
generator and study its endomorphism ring. The modern twist on this
technique is to choose the projective generator with great...
Introduction to quantized enveloping algebras
Leonardo Maltoni
Continuation of the talk from last time.
The Hecke category action on the principal block via Smith theory
3:00pm|Simonyi Hall 101 and Remote Access
Wall-crossing functors on the principal block of category $O$
give an action of the (finite) Hecke category. If one knows enough
about the Hecke category, one can deduce the Kazhdan-Lusztig
conjectures from the existence of this action. This is a...
