Previous Special Year Seminar

Oct
14
2005

Arithmetic Homogeneous Spaces

Equidistribution and Arithmetic on Homogeneous Spaces
Akshay Venkatesh
11:00am|S-101

I will discuss the following theme: starting with an a priori Diophantine result (typical flavour: integer solutions to such-and-such equation are well-spaced) and turning it into an equidistribution-type statement on a homogeneous space. This (in...

Oct
11
2005

Lie Groups, Representations and Discrete Mathematics

From Ramanujan Graphs to Ramanujan Complexes
Alex Lubotzky
2:00pm|S-101

Ramanujan graphs are grphs with optimal bounds on their eigenvalues. They play an important role in combinatorics and computer science. Their constructions in the late 80's used the work of Deligne and Drinfeld proving the Ramanujan conjecture for...

Sep
30
2005

Arithmetic Homogeneous Spaces

Some Aspects of the Theta Correspondence
Erez Lapid
11:00am|S-101

A celebrated result of Waldspurger provides a relation between Fourier coefficients of half-integral weight modular forms and the central value of L-functions of the associated Shimura lift (which is a modular form of integral weight). This has a...

Sep
23
2005

Arithmetic Homogeneous Spaces

Periods of Automorphic Forms Over a Compact Unitary Group
Omer Offen
11:00am|S101

We use the recent developments of Jacquet in order to obtain an explicit expression for a compact unitary period of certain automorphic form on GL(n) in terms of special values of L-functions. Jacquet obtains a characterization of the image of...