2024 Women+ and Mathematics

Abstract: The Emerton-Gee stack is a stack of etale $\phi$ modules, and can be viewed as a stack of p-adic representations for the Galois group of a finite extension $K$ of $Qp$. In this talk, we will introduce the stack and talk about its role in...

Abstract: How fast do Betti numbers grow in a congruence tower of covering spaces? I'll discuss this question in the special case of Picard modular surfaces, which are 4-dimensional real manifolds. There, the question is most interesting in degree 1...

Abstract: The goal of this lecture series is to give you a glimpse into the Langlands program, a central topic at the intersection of algebraic number theory, algebraic geometry and representation theory. In the first lecture, we will look at a...

Abstract: Geometry and representation theory are intertwined in deep and foundational ways. One of the most important instances of this relationship was uncovered in the 1970s by Deligne and Lusztig: the representation theory of matrix groups over...