Previous Conferences & Workshops

A popular method in combinatorial optimization is to express polytopes \(P\), which may potentially have exponentially many facets, as solutions of linear programs that use few extra variables to reduce the number of constraints down to a polynomial...

Witten conjectured a relationship between intersection theory on the moduli space of marked stable curves and the KdV integrable hierarchy. Alternatively, the KdV hierarchy can be rephrased in terms of a representation of half the Virasoro algebra...

We describe the recently observed relation between knot contact homology and open topological strings. This in particular gives two ways of looking at the augmentation variety from knot contact homology, which describe the relevant string theory at...

About twenty years ago, Choptuik studied numerically the gravitational collapse (Einstein field equations) of a massless scalar field in spherical symmetry, and found strong evidence for a universal, self-similar solution at the threshold of black...

In this talk I will explain some results (joint with Vytas Paskunas) showing that certain classes of potentially crystalline representations (e.g. in the case of two-dimensional representations: crystabelline potentially Barsotti--Tate...

I will discuss a proof of many-body localization for a one-dimensional spin chain with random local interactions. The proof depends on a physically reasonable assumption that limits the amount of level attraction in the system. This is joint work...

Magic sequences were introduced for the first radar measurements of the distance to Venus. They are now used in GPS, satellite and cell phone communications. In many cases their correlation properties can be determined using some crazy ideas of...

We provide a derivation of the brownian motion as the hydrodynamic limit of a diluted deterministic system of hard-spheres (in the Boltzmann-Grad limit). We use the linear Boltzmann equation as an intermediate level of description for one tagged...

I will talk about two types of random processes -- the classical Sherrington-Kirkpatrick (SK) model of spin glasses and its diluted version. One of the main goals in these models is to find a formula for the maximum of the process, or the free...