Speaker: François Huveneers (U Paris-Dauphine) Web: https://www.ceremade.dauphine.fr/~huveneers/ Title: Many Body localization: the effect of thermal spots Abstract: Many-body localization (MBL) emerged a bit more than a decade ago as a new exciting field in condensed matter physics. A characteristic feature of MBL materials is that they don’t thermalize and retain the memory of initial conditions “forever” (in ideal world). I will discuss our recent investigations on the influence of thermal spots on the stability of the localized phase. The talk will be made of two parts. First I will analyze the effect of a single spot on an Anderson insulator (i.e. a gas of non-interacting localized modes), and I will derive a sharp threshold on the localization length above which localization is destroyed. Second I will consider the more physically relevant situation where there is a density of such spots in the material and I will present a scenario for the transition to the ergodic phase driven by such spots. No prior knowledge of MBL physics will be assumed.