Mar 20

## Semiclassical analysis, amplification, and subconvexity

1:45pm

I will discuss an approach to the subconvexity problem for L-functions based on period integral formulae and amplification.

Mar 20

## Concentration properties of automorphic forms and spherical varieties (continued).

10:00am

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-f

Mar 13

## Bounds for character twists of L-functions

3:15pm

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.

Mar 13

## Period mappings are definable in the o-minimal structure $mathbb{R}_{an,exp}$

1:45pm

(joint w. Ben Bakker) Period spaces are quotients of period domains by arithmetic groups that parametrize hodge structures.

Mar 13

## Concentration properties of automorphic forms and spherical varieties

10:00am

Mar 09

## Nodal domains for Maass forms

2:30pm

Abstract: A highly excited Maass form on a hyperbolic surface is expected to behave like a random monochromatic wave .