Previous Special Year Seminar

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...
Mar
06
2018

Workshop on Representation Theory and Analysis on Locally Symmetric Spaces

Restriction problem for non-generic representation of Arthur type
Wee Teck Gan
2:30pm|Simonyi Hall 101
Abstract: The Gross-Prasad conjecture considers a branching problem for generic Arthur packets of classical groups. In this talk, we will describe progress towards extending this conjecture to nongeneric Arthur packets (this is joint work with Gross...
Mar
06
2018

Workshop on Representation Theory and Analysis on Locally Symmetric Spaces

The Plancherel formula for $L^2(GL_n(F)backslash GL_n(E))$ and applications to the Ichino-Ikeda and formal degree conjectures for unitary groups
Raphaël Beuzart-Plessis
11:30am|Simonyi Hall 101
Abstract : Let $E/F$ be a quadratic extension of local fields of characteristic zero. In this talk, I will explain two ways to compute the Plancherel decomposition of $L^2(GL_n(F)\backslash GL_n(E))$. In both cases, the result involves the image of...
Feb
27
2018

Locally Symmetric Spaces Seminar

Local to global relations of periods (continued)
Erez Lapid
1:45pm|Simonyi Hall 101

Rankin-Selberg integrals provide factorization of certain period integrals into local counterparts. Other, more elusive, periods can be studied in principle by the relative trace formula and other methods.

Following Waldspurger, Ichino-Ikeda...

Feb
27
2018

Locally Symmetric Spaces Seminar

Invariant differential operators on spherical varieties (continued)
Jonathan Wang
10:00am|Dilworth Room

I will discuss Knop's paper generalizing Harish-Chandra's isomorphism for the center of the universal enveloping algebra to the setting of spherical varieties. Here the center is replaced by the algebra of invariant differential operators. The idea...