Previous Conferences & Workshops

The family of high-rank arithmetic groups is a class of groups playing an important role in various areas of mathematics.

It includes $\mathrm{SL}(n,\mathbb Z)$, for $n > 2$ , $\mathrm{SL}(n, \mathbb Z[1/p])$ for $n > 1$, their finite index...

The defocusing Non Linear Schrödinger equation $iu_{t} = \Delta {u-u}|u|^{p-1}$ is a classical model of mathematical physics. For energy subcritical non linearities, Ginibre and Velo proved in the ’80s that all solutions are global in time and...

In the last forty years, the study of singularity formation has mostly concerned model problems and focusing non linearities. In this second lecture, we will try to give a unified overview on the known mechanisms of singularity formation, with in...

The 4th Clay Millenium problem has a very simple formulation: may viscous incompressible fluids form a singularity in finite time? The answer is no in dimension two as proved by Leray in 1932, but the three dimensional problem is out of reach. More...