A well known result of Coleman says that p-adic overconvergent
(ellitpic) eigenforms of small slope are actually classical modular
forms. Now consider an overconvergent p-adic Hilbert eigenform F
for a totally real field L. When p is totally split...
Periods of automorphic forms over spherical subgroups tend to:
(1) distinguish images of functorial lifts and (2) give information
about L-functions. This raises the following questions, given a
spherical variety X=H\G: Locally, which irreducible...