Previous Special Year Seminar

Feb
13
2018

Locally Symmetric Spaces Seminar

Moment map for spherical varieties (after F. Knop)
Michał Zydor/Yiannis Sakellaridis
10:00am|Dilworth Room

Conclusion of last week's talk (Michał); overview of where we are and discussion of relation with representation theory and L-functions (Yiannis).

Feb
06
2018

Locally Symmetric Spaces Seminar

Moment map for spherical varieties (after F. Knop)
10:00am

We will discuss Knop's paper "The asymptotic behavior of invariant collective motion" which analyzes the moment map for a spherical variety and relates it to a Weyl group.

Jan
30
2018

Locally Symmetric Spaces Seminar

Modular symbols and arithmetic
1:45pm|S-101

In these lectures, we will explore what insight can be gained into the arithmetic of Galois representations in a given dimension through the geometry of a higher-dimensional locally symmetric space near a boundary component. The starting point for...

Jan
30
2018

Locally Symmetric Spaces Seminar

Introduction to spherical varieties (1)
10:00am

I will give a brief introduction to spherical varieties. With a view towards understanding the geometry of the moment map, I'll talk about the local structure theorem for spherical varieties. More concretely, if X is a spherical G-variety and B a...

Jan
23
2018

Locally Symmetric Spaces Seminar

Modular symbols and arithmetic
1:45pm|S-101

In these lectures, we will explore what insight can be gained into the arithmetic of Galois representations in a given dimension through the geometry of a higher-dimensional locally symmetric space near a boundary component. The starting point for...

Jan
16
2018

Locally Symmetric Spaces Seminar

Modular symbols and arithmetic
1:45pm|S-101

In these lectures, we will explore what insight can be gained into the arithmetic of Galois representations in a given dimension through the geometry of a higher-dimensional locally symmetric space near a boundary component. The starting point for...

Jan
16
2018

Locally Symmetric Spaces Seminar

Working group on microlocal analysis and automorphic forms
10:00am|Physics Library, Bloomberg Hall 201

This will be an informal working group on aspects of microlocal analysis that are relevant to automorphic forms. We will try to study Archimedean zeta integrals (which are related to local L-functions) using tools from the geometric theory of...

Dec
19
2017

Locally Symmetric Spaces Seminar

Transfer operators between relative trace formulas in rank one II
1:45pm|S-101

I will introduce a new paradigm for comparing relative trace formulas, in order to prove instances of (relative) functoriality and relations between periods of automorphic forms.More precisely, for a spherical variety $X=H\backslash G$ of rank one...