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...
1. Serre’s chapter on modular forms in “A course in
arithmetic”.
2. Fred Diamond and Jerry Shurman “A first course in modular
forms”
3. The video of Frank Calegari’s plenary ICM address in 2022:
https://www.youtube.com...