Previous Conferences & Workshops

We'll begin with the following theorem, which proves a conjecture of S\'ark\"ozy, Selkow and Szemer\'edi, and try to use it as an excuse to talk about other things (perhaps including Br\'egman's Theorem, entropy, the ``incremental random method,"...

I will describe some identities of linear forms and distributions attached to representations in theta correspondence. These identities can be used to prove formula of special values of L-functions.

A pair (G,H), where G is a group and H a subgroup, has relative Property T if every isometric action of G on a Hilbert space has a H-fixed point. In a connected Lie group or a lattice G, we characterize subgroups H such that (G,H) has relative...

Let G be a semisimple adjoint group. There is a partition of its wonderful compactification into finitely many G-stable pieces, which was introduced by Lusztig. Each piece is a locally trivial fibration over a partial flag variety with fibres...

We examine several non convex free energy functionals involving a double well potential, and an energy term that penalizes variation in the mass density field. The simplest example is the so--called Cahn--Hilliard functional, which is purely...

The remarkable phenomenon of Superrigidity, discovered by Margulis in the context of linear representations of lattices in higher rank semi-simple groups, has motivated and inspired a lot of research on other "higher rank" groups and representations...

Huygens' principle (in the narrow Hadamard's sense) for a second-order hyperbolic equation means that its fundamental solution is located on the characteristic conoid. Physically this implies that a localised disturbance will have an effect...