Previous Conferences & Workshops
Double covers of tori and the local Langlands correspondence
Given a maximal torus $T$ of a connected reductive group $G$
over a local field $F$, there does not exist a canonical embedding
of the L-group of $T$ into the L-group of $G$. Generalizing work of
Adams and Vogan in the case $F=R$, we will construct...
Lax 2-tensor constructions
In joint work with Andy Manion, we required a generalization of
the tensor product of 2-representations in order to reconstruct the
2-dimensional part of Lipshitz-Oszvath-Szabo’s bordered
Heegaard-Floer theory. I will discuss this and possible...
Representations of p-adic groups
The Langlands program is a far-reaching collection of
conjectures that relate different areas of mathematics including
number theory and representation theory. A fundamental problem on
the representation theory side of the local Langlands program
is...
Links of strata in singular spaces are fundamental invariants
which govern the topology of small neighbourhoods around points in
those strata. This talk will focus on inferring links of strata
from incomplete information in three completely...
Categorical non-properness in wrapped Floer theory
In all known explicit computations on Weinstein manifolds, the
self-wrapped Floer homology of non-compact exact Lagrangian is
always either infinite-dimensional or zero. We will explain why a
global variant of this observed phenomenon holds in broad...
Eisenstein series, p-adic deformations, Galois representations, and the group G_2
Sam Mundy
I will explain some recent work on special cases of the
Bloch-Kato conjecture for the symmetric cube of certain modular
Galois representations. Under certain standard conjectures, this
work constructs nontrivial elements in the Selmer groups of...
Quantum groups at roots of unity
Continuation of the talk from last time.
Stokes phenomena, Poisson-Lie groups and quantum groups
Let $G$ be a complex reductive group, $G^*$ its dual Poisson-Lie
group, and $g$ the Lie algebra of $G$. $G$-valued Stokes phenomena
were exploited by P. Boalch to linearise the Poisson structure on
$G^*$. I will explain how $Ug$-valued Stokes...
Approximating tilting modules
Using the arithmetics of quantum numbers we construct some
“approximations” of tilting modules for reductive algebraic groups
that might be useful for understanding the generational patterns of
tilting characters conjectured by Lusztig and...
10:00am|Simonyi Hall 101 and Remote Access
