EVENT DETAILS AND ABSTRACT

Title: Critical points and the Gibbs measure of pure spherical spin glasses
Speaker: Eliran Subag
Speaker Info: Weizmann Institute
Brief Description:
Special Note:
Abstract:

Abstract. Mathematically, spherical spin glasses are smooth Gaussian fields on the N-dimensional sphere. To investigate their intricate landscape one may study the critical points and values. Focusing on the pure p-spin models, I will review recent developments concerning the distribution of the number of critical values at a given height and the associated extremal point process. Combining these results with a local investigation around the critical points yields a detailed geometric picture for the Gibbs measure at low enough temperature: the measure concentrates on spherical "bands" around the deepest critical points. The talk will focus on the latter and consequences of it. The talk is based on a joint work with Ofer Zeitouni.