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...
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...
Over the last decades, following works around the Pila-Wilkie
counting theorem in the context of o-minimality, there has been a
surge in interest around functional transcendence results, in part
due to their connection with special points...
general theory of relativity, a pillar of modern physics formulated
100 years ago, will be celebrated by the Institute for Advanced
Study and Princeton University in a two-day conference, General...