Program

Invited Speakers:

Eric Carlen on The many faces of Strong Subadditivity of Quantum Entropy and Quantum Entanglement
Abstract

Lecture notes

Mathieu Lewin on Local bounds on infinite equilibrium states and applications
Abstract: In 1970, Ruelle proved that classical short range infinite Gibbs states have uniformly bounded local moments in the number of particles, under very general conditions on the interaction. This result plays a very important role in statistical mechanics. After reviewing Ruelle's approach, I will discuss some classical consequences and some more recent applications. In particular, I will address quantitative bounds, the local density approximation, and quantum versions useful for studying Bose-Einstein condensation in an infinite Bose gas.

Lecture notes

Sylvia Serfaty on Systems with Coulomb Interactions 

Abstract: We will discuss the statistical mechanics of large systems of particles with Coulomb-type repulsion, motivated for instance by plasmas and random matrix theory.

We will present the electric formulation approach, which allows to derive free energy expansion, LDP for empirical field and fluctuations around the mean-field limit. If time permits we will also discuss mean-field convergence for dynamics by the modulated energy method.