Number Theory

Upcoming Events

Rena Chu (Duke University)
Physics 119
Kai-Wen Lan (University of Minnesota, Twin Cities, Mathematics)
Physics 119

I will start with some introduction to Shimura varieties and their completed cohomology, and report on my joint work in progress with Lue Pan which shows that, in the…
read more about Some vanishing results for the rational completed cohomology of Shimura varieties »

Sachi Hashimoto (Brown University)
Physics 119

Faltings's theorem tells us that the set of rational points on a curve of genus at least 2 is finite, but explicitly determining this finite set is a difficult problem.…
read more about p-Adic methods for determining rational points on curves »

Zhilin Luo (University of Chicago)
Physics 119
Pan Yan (University of Arizona, Mathematics)
Physics 119

In the usual paradigm of the Rankin-Selberg method, the Eulerian factorization of a global integral relies on the uniqueness of a model such as the Whittaker model, or…
read more about L-functions for Sp(2n)xGL(k) via non-unique models »

Ameya Pitale (University of Oklahoma, Mathematics)
Physics 119
Physics 119