Events and Activities

Shimura varieties are an important geometric object in the Langlands program, because the Hecke (adelic group) action allows us to view various cohomology groups as Hecke modules. Moreover, the cohomology admits an integral structure when the...

Abstract: The theory of elliptic curves with complex multiplication has yielded some striking arithmetic applications, ranging from (cases of) Hilbert’s Twelfth Problem to the Birch and Swinnerton-Dyer Conjecture. These applications rely on the...

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...

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...