# Probability Seminar

## Surface Law and Charge Rigidity for the Coulomb Gas on $Z^d$

I will start by introducing and motivating the (two-component) Coulomb gas on the d-dimensional lattice $Z^d$. I will then present some puzzling properties of the fluctuations of this Coulomb gas. The connection of this model with integer-valued fields and compact-valued spin systems will be emphasised through the talk. This is based on joint works with Avelio Sepúlveda and David Dereudre

### Date & Time

January 27, 2023 | 11:15am – 12:15pm

### Location

Simonyi 101 and Remote Access

### Speakers

Christophe Garban

### Speaker Affiliation

University of Lyon