Previous Conferences & Workshops

Apr
05
2021

Computer Science/Discrete Mathematics Seminar I

Pandora's Box with Correlations: Learning and Approximation
Shuchi Chawla
11:15am|Remote Access - see Zoom link below

In the Pandora's Box problem, the algorithm is provided with a number of boxes with unknown (stochastic) rewards contained inside them. The algorithm can open any box at some cost, discover the reward inside, and based on these observations can...

Apr
03
2021

Workshop on Representation Theory and Geometry

The Drinfeld--Sokolov reduction of admissible representations of affine Lie algebras
Gurbir Dhillon
12:00pm|Virtual

Let $g$ be a semisimple Lie algebra. The affine W-algebra associated to $g$ is a topological algebra which quantizes the algebraic loop space of the Kostant slice. It is constructed as a quantum Hamiltonian (alias quantum Drinfeld--Sokolov)...

Apr
03
2021

Workshop on Representation Theory and Geometry

Flag manifolds over semifields II
10:30am|Virtual

The study of totally positive matrices, i.e., matrices with positive minors, dates back to 1930s. The theory was generalised by Lusztig to arbitrary split reductive groups using canonical bases, and has significant impacts on the theory of cluster...

Apr
03
2021

Workshop on Representation Theory and Geometry

Towards derived Satake equivalence for symmetric varieties
9:00am|Virtual

In an ongoing project of D. Ben-Zvi, Y. Sakellaridis and A. Venkatesh, the authors propose a conjectural generalization of the derived Satake equivalence for complex reductive groups to spherical varieties. I will describe a program aimed at...

Apr
02
2021

Workshop on Representation Theory and Geometry

Double covers of tori and the local Langlands correspondence
5:00pm|Virtual

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...

Apr
02
2021

Workshop on Representation Theory and Geometry

Lax 2-tensor constructions
3:30pm|Virtual

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...

Apr
02
2021

Workshop on Representation Theory and Geometry

Representations of p-adic groups
2:00pm|Virtual

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...

Apr
02
2021

Workshop on Topology: Identifying Order in Complex Systems

The missing link
2:00pm|Remote Access

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...

Apr
01
2021

Joint IAS/Princeton University Number Theory Seminar

Eisenstein series, p-adic deformations, Galois representations, and the group G_2
Sam Mundy
4:30pm|Remote Access

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...