20260304

Joint Event: Math Department Colloquium & SASA Seminar (Unusual Colloquium Time)

Li-Cheng Tsai
Associate Professor
University of Utah
Date: March 04, Wednesday, 2026
Time: 14:00-14:50
Host: Le Chen
Room: Parker 328
Abstract: The Stochastic Heat Flow (SHF) emerges as the scaling limit of directed polymers in random environments and the noise-mollified stochastic heat equation, specifically at the critical dimension of two and near the critical temperature. I will present an axiomatic formulation of the SHF as well as its construction based on its moments, and discuss how this formulation can be applied to solve a range of problems.

Tsai, L.-C. (2024). Stochastic heat flow by moments. Preprint.
arXiv: 2410.14657
Gu, Y. and Tsai, L.-C. (2025). Stochastic heat flow is a black noise. Preprint.
arXiv: 2506.16484
Clark, J. and Tsai, L.-C. (2025). Conditional GMC within the stochastic heat flow. Preprint.
arXiv: 2507.16056