Thanasis Bouganis

In this talk we will discuss the construction of p-adic measures for Hermitian modular forms (modular forms associated to unitary groups). For the construction of such measures there exist two general approaches. The first (an ongoing project of Eischen, Harris, Li and Skinner) is based on the so-called doubling-method. The second is based on Rankin-Selberg integrals involving theta series. In this talk we will report on our work in progress on developing this second approach. We will also discuss the similarities and differences to the Siegel modular forms situation (modular forms attached to symplectic groups), where the Rankin-Selberg method has been studied in this context by Panchishkin and the doubling-method by Boecherer  and Schmidt.