Previous Conferences & Workshops

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...

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...

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...

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...

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...

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...

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...

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...