Lethbridge Number Theory and Combinatorics Seminar: Alia Hamieh

In this talk, we give a brief overview of adelic Hilbert modular forms. Then, we show that the central values of the Rankin-Selberg convolutions, L(g otimes f, s), uniquely determine an adelic Hilbert modular form g, where f varies in a carefully chosen infinite family of adelic Hilbert modular forms. We prove our results in both the level and weight aspects. This is a joint work with Naomi Tanabe.