Title: Following the evolution of glassy states under shear-strain in infinite dimension

Abstract:
I will discuss a mean field approach to glasses based on the exact solution of structural glass models in the limit of infinite dimension. Remarkably the theory predicts a novel critical point, the Gardner transition, where standard elasticity breaks down and the elastic response becomes intermittent. The Gardner transition is generically found when a glass is perturbed in some ways: cooling, compressing or straining it. Upon straining the system, the Gardner transition signs the onset of marginal stability. It turns out that the yielding point is deep in the Gardner phase. I will describe what is the scenario for the yielding transition that emerges from these findings.