Probability Seminar

Title: The Critical 2d Stochastic Heat Flow.

Abstract: The critical 2-d Stochastic Heat Flow arises as a non-trivial solution of the Stochastic Heat Equation (SHE) and its discretization via directed polymers at the critical dimension 2 and at a phase transition point. It is a log-correlated field, which is neither Gaussian nor a Gaussian Multiplicative Chaos. We will review the phase transition of the 2-d SHE, describe the main points of the construction of the Critical 2-d SHF and outline some of its geometric and quantitative features. Most of the talk will be based on joint works with Francesco Caravenna, Rongfeng Sun, Ziyang Liu, Zuodi Xie but contributions of other researchers will also be presented.