Mathematical Colloquium

Friday, December 7, 2018, 2:30pm

Coulomb gases and the crystallization conjecture

Mathieu Lewin (CNRS/Paris-Dauphine)

Abstract:
The crystallization conjecture is one of the least understood problems in mathematical physics, and it is yet important for physical applications. In this talk I will explain what it is about on a simple class of models, sometimes called "Coulomb" or "Riesz" gases. This model is believed to be universal in a certain sense, and it has important implications in analytic number theory, in PDE, for random matrices, for random Schrödinger operators and several other mathematical topics. The talk will not contain any personal result.

Location: Raum 115, Rogowski-Gebäude, Schinkelstr. 2, 52062 Aachen