Langlands, Professor Emeritus, School of Mathematics. There are
several central mathematical problems, or complexes of problems,
that every mathematician who is eager to acquire some broad
competence in the subject...
Given the current knowledge of complex representations of finite
simple groups, obtaining good upper bounds for their characters
values is still a difficult problem, a satisfactory solution of
which would have significant implications in a number of...
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...
Black holes are never isolated in realistic astrophysical
environments; instead, they are often perturbed by complicated
external tidal fields. How does a black hole respond to these tidal
perturbations? In this talk, I will discuss both the...
Wall-crossing functors on the principal block of
category OO 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...