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…
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.…
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…
