There is a canonical pairing on the Brauer group of a surface
over a finite field, which is the analogue of the Cassels-Tate
pairing on the Tate-Shafarevich group of a Jacobian variety. An old
conjecture of Tate predicts that this pairing is...
An orbit method (or Kirillov method) on compact $p$-adic groups
establishes a one-to-one correspondence between irreducible
representations and coadjoint orbits of dual blobs. After briefly
recalling Howe’s Kirillov theory, we discuss its...
An orbit method (or Kirillov method) on compact $p$-adic groups
establishes a one-to-one correspondence between irreducible
representations and coadjoint orbits of dual blobs. After briefly
recalling Howe’s Kirillov theory, we discuss its...
We will present an introduction to Arthur's trace formula from
an analytic point of view. After recalling Arthur's regularization
procedure, we will review the absolute convergence and continuity
of the trace formula for a large natural class of...
I will talk about some global questions on the concentration
properties of automorphic forms that seem to be a natural
environment in which to examine the interplay between the geometry
and spectrum of spherical varieties, L-functions, and...
The problem of bounding character twists of low-rank L-functions
has been attacked using a variety techniques, including delta
methods and analysis of period integral representations. I'll
discuss this problem, emphasizing joint work with Roman...
(joint w. Ben Bakker) Period spaces are quotients of period
domains by arithmetic groups that parametrize hodge structures.
These are typically complex-analytic orbifolds, but in most cases
cannot be equipped with an algebraic structure. As a...
I will talk about some global questions on the concentration
properties of automorphic forms that seem to be a natural
environment in which to examine the interplay between the geometry
and spectrum of spherical varieties, L-functions, and...
