p-adic families of Eisenstein series and applications
Ellen Eischen (University of North Carolina)
MSRI: Simons Auditorium
One approach to constructing certain p-adic L-functions relies on construction of a p-adic family of Eisenstein series. I will explain how to construct such p-adic families for certain unitary groups. As part of the talk, I will explain how to p-adically interpolate certain values of both holomorphic and non-holomorphic Eisenstein series. I will also mention some applications to number theory and beyond.