Previous Special Year Seminar
Equidistribution and Arithmetic on Homogeneous Spaces
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...
From Ramanujan Graphs to Ramanujan Complexes
Alex Lubotzky
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...
Some Aspects of the Theta Correspondence
Erez Lapid
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...
Periods of Automorphic Forms Over a Compact Unitary Group
Omer Offen
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...
11:00am|IAS - West Building Lecture Theatre
