Application of Plancherel's theorem to integral kernels
approximating compact period functionals yields estimates on
(global) automorphic Levi-Sobolev norms of the functionals. The
utility of this viewpoint can be illustrated in reconsideration
of...
Abstract:
Associated to an abelian variety A/K is a Galois representation
which describes the action of the absolute Galois group of K on the
torsion points of A. In this talk, we shall describe how large the
image of this representation can be (in...
35 years ago Wehrl defined a classical entropy of a quantum
density matrix using Gaussian (Schr\"odinger, Bargmann, ...)
coherent states. This entropy, unlike other classical
approximations, has the virtue of being positive. He conjectured
that the...
For GL(2) over Q_p, the p-adic Langlands correspondence is
available in its full glory, and has had astounding applications to
Fontaine-Mazur, for instance. In higher rank, not much is known.
Breuil and Schneider put forward a conjecture, which...
The goal of the Balanced Separator problem is to find a balanced
cut in a given graph G(V,E), while minimizing the number of edges
that cross the cut. It is a fundamental problem with applications
in clustering, image segmentation, community...
The interface between water and vacuum (governed by the "water
wave equation"), and the interface between oil and water in sand
(governed by the "Muskat equation") can develop singularities in
finite time. Joint work with A. Castro, D. Cordoba, F...
