Previous Special Year Seminar

Mar
13
2018

Locally Symmetric Spaces Seminar

Period mappings are definable in the o-minimal structure $mathbb{R}_{an,exp}$
Jacob Tsimerman
1:45pm|Simonyi Hall 101

(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...

Mar
13
2018

Locally Symmetric Spaces Seminar

Concentration properties of automorphic forms and spherical varieties
Farrell Brumley
10:00am|Dilworth Room

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...

Mar
09
2018

Workshop on Representation Theory and Analysis on Locally Symmetric Spaces

Ax-Schanuel for Shimura Varieties
Jacob Tsimerman
11:30am|Simonyi Hall 101
Abstract: (joint with N.Mok, J.Pila) Shimura varieties (S) are uniformized by symmetric spaces (H), and the uniformization map Pi:H --> S is quite transcendental. Understanding the interaction of this map with the two algebraic structures is of...
Mar
08
2018

Workshop on Representation Theory and Analysis on Locally Symmetric Spaces

Euler classes transgressions and Eistenstein cohomology of $GL(N)$
Nicolas Bergeron
4:00pm|Simonyi Hall 101
Abstract: In work-in-progress with Pierre Charollois, Luis Garcia and Akshay Venkatesh we give a new construction of some Eisenstein classes for $GL_N (Z)$ that were first considered by Nori and Sczech. The starting point of this construction is a...
Mar
08
2018

Workshop on Representation Theory and Analysis on Locally Symmetric Spaces

Arithmetic theta series
Stephan Kudla
2:30pm|Simonyi Hall 101
Abstract: In recent joint work with Jan Bruinier, Ben Howard, Michael Rapoport and Tonghai Yang, we proved that a certain generating series for the classes of arithmetic divisors on a regular integral model M of a Shimura variety for a unitary group...
Mar
06
2018

Workshop on Representation Theory and Analysis on Locally Symmetric Spaces

Relative character asymptotics and applications
Paul Nelson
4:00pm|Simonyi Hall 101
Abstract: Relative (or spherical) characters describe the restriction of a representation to a subgroup. They arise naturally in the study of periods of automorphic forms, e.g., in the setting of conjectures of Gan-Gross-Prasad and Ichino-Ikeda. I...