Title: Moments of Critical 2D Stochastic Heat Flow 

Speaker: Kyeongsik Nam (KAIST) 

Abstract: The stochastic heat equation (SHE) describes the evolution of a field under a random source. It arises as the universal scaling limit for a wide class of microscopic systems, including directed polymers and interacting particle systems, and is a cornerstone of the Kardar-Parisi-Zhang (KPZ) universality class in 1+1 dimensions. In 2+1 dimensions, SHE undergoes a weak to strong disorder phase transition depending on the strength of noise. Its scaling limit in the "critical" regime, called Critical 2D Stochastic Heat Flow, was conjectured to display extreme intermittency, with h-th moments growing like exp(exp(h)). In this talk, we establish a lower bound of this conjecture. Joint work with Shirshendu Ganguly.