Aspects of the two-dimensional Coulomb gas

by Yacin Ameur (Lund University)

Thursday Sep 18, 2025, 2:00 PM → 3:00 PM Europe/Brussels

B/2nd floor-B.203 - Seminar room (Marc de Hemptinne (chemin du Cyclotron, 2, Louvain-la-Neuve))

The two-dimensional Coulomb gas gives the statistical mechanical bridge between classical potential theory and field theory, which appears when we study certain renormalized limits as the number of particles increases indefinitely. We overview some basic features of the Coulomb gas. As an illustration, we will briefly discuss some recent results in the regime when the Coulomb droplet becomes disconnected.