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...
I'll talk on work in progress on algebraic and analytic geometry
over the field of one element F_1. This work originates in
non-Archimedean analytic geometry as a result of a search for
appropriate framework for so called skeletons of analytic...
We attach Galois representations to automorphic representations
on unitary groups whose weight (=component at infinity) is a
holomorphic limit of discrete series. The main innovation is a new
construction of congruences, using the Hasse Invariant...
Let G be a connected reductive group over Q such that G(R) has
discrete series representations. I will report on some statistical
results on the Satake parameters (w.r.t. Sato-Tate distributions)
and low-lying zeros of L-functions for families of...
