Previous Special Year Seminar

Mar

06

2018

Workshop on Representation Theory and Analysis on Locally Symmetric Spaces

Restriction problem for non-generic representation of Arthur type

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...

Mar

06

2018

Workshop on Representation Theory and Analysis on Locally Symmetric Spaces

About the conjecture of Sakellaridis and Venkatesh on the discrete series for archimedean symmetric spaces

Colette Moeglin

10:00am|Simonyi Hall 101

Mar

05

2018

Workshop on Representation Theory and Analysis on Locally Symmetric Spaces

Supercuspidal L-packets

Tasho Kaletha

11:30am|Simonyi Hall 101

Abstract: Harish-Chandra has given a simple and explicit classification of the discrete series representations of reductive groups over the real numbers. We will describe a very similar classification that holds for a large proportion of the...

Mar

05

2018

Workshop on Representation Theory and Analysis on Locally Symmetric Spaces

Representations of $p$-adic groups

Jessica Fintzen

10:00am|Simonyi Hall 101

Abstract: The building blocks for complex representations of p-adic groups are called supercuspidal representations. I will survey what is known about the construction of supercuspidal representations, mention questions that remain mysterious until...

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...

Feb

20

2018

Locally Symmetric Spaces Seminar

Local to global relations of periods

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

20

2018

Locally Symmetric Spaces Seminar

Knop's paper on Harish-Chandra homomorphism for reductive group actions

Jonathan Wang

10:00am|Dilworth Room

Feb

13

2018

Locally Symmetric Spaces Seminar

The Ngô action via geometric Satake

David Ben Zvi

1:45pm|Simonyi Hall 101

I will explain an application of the geometric Satake correspondence (in its derived form due to Bezrukavnikov-Finkelberg) to the study of differential operators on $G$-spaces (for $G$ complex reductive) and its classical version, the study of...