Previous Conferences & Workshops

Oct
24
2008

Shimura Varieties and Trace Formula Seminar

Construction of Galois Representations
2:00pm|S-101

We report a recent result, due to Clozel-Harris-Labesse, Morel and the speaker, on the previous work of Clozel, Kottwitz, Harris-Taylor and Taylor-Yoshida. There are two main features in our work. One feature, which is also crucial in the other...

Oct
23
2008

Joint IAS/Princeton University Number Theory Seminar

The Coefficients of Harmonic Maass Forms and Combinatorial Applications
Karl Mahlburg
4:30pm|Fine Hall -- 214

The subject of partition theory has long been an excellent source of combinatorial hypergeometric q-series that are also automorphic forms. The forms that are associated with even the simplest examples (such as the generating function of the...

Oct
23
2008

Geometric PDE Seminar

Stability and Instability for Einstein-Scalar Field Lichnerowicz Equations
Emmanuel Hebey
1:30pm|S-101

We discuss Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds from the viewpoint of existence results and stability issues. We prove that the Einstein-scalar field Lichnerowicz equation is stable when $n \le 5$, and...

Oct
21
2008

Mini-Course in Geometric PDE

Variational Techniques for the Prescribed $Q$-Curvature Equation
1:30pm|S-101

After recalling the definition of $Q$-curvature and some applications, we will address the question of prescribing it through a conformal deformation of the metric. We will address some compactness issues, treated via blow-up analysis, and then...

Oct
21
2008

Computer Science/Discrete Mathematics Seminar II

Group Representation Patterns in Digital Processing
Shamgar Gurevich and Ronny Hadani
10:30am|S-101

In the lecture we will explain how various fundamental structures from group representation theory appear naturally in the context of discrete harmonic analysis and can be applied to solve concrete problems from digital signal processing. We will...

Oct
20
2008

Special Computer Science/Discrete Mathematics Seminar

k-Wise Independent Random Graphs
Asaf Nussboim
4:00pm|S-101

We study the limits of efficient computation in the context of constructing random-looking graph distributions that can be used to emulate huge random graphs over N=2^n vertices. In particular we study k-wise independent graphs where (as in the...

Oct
20
2008

Members’ Seminar

The Topography of Random Waves
2:00pm|S-101

Random waves have been investigated since the 1940's in connection with modeling telephone signals (Rice), to model sea waves (Longuet-Higgins), and since the 1970's by Berry and others to model quantum wave-functions of classically chaotic systems...

Oct
20
2008

Computer Science/Discrete Mathematics Seminar I

Affine Dispersers from Subspace Polynomials
11:15am|S-101

This talk describes new explicit constructions of dispersers for affine sources of dimension below the notorious n/2 threshold. The main novelty in our construction lies in the method of proof which relies (solely) on elementary properties of...