Ellen Eischen

p-adic L-functions, with a view toward unitary groups

One approach to studying the p-adic behavior of L-functions relies on understanding p-adic properties of certain modular (or automorphic) forms, such as congruences satisfied by their Fourier coefficients. In this talk, I will introduce p-adic L-functions and an approach to constructing them, which relies on relating them to certain p-adic families of Eisenstein series.