The KPZ equation was introduced to describe random growing interfaces by Kardar, Parisi, and Zhang in 1986. Since its introduction, the KPZ equation and its large-time asymptotics have been a major research subject in mathematics and physics. The convergence of its fundamental solutions has been a long-standing open problem. In this talk, I will review results in this direction and present my recent work that resolves this problem.

报告人简介：Xuan is currently a postdoc researcher at the University of Chicago and will join the math department of UIUC as an assistant professor. Xuan received her PhD in mathematics from Columbia University in 2020. Her research interest lies in integrable probability, particularly the asymptotic analysis of stochastic integrable systems which lie at the interface of random matrix theory, stochastic PDEs and statistical physics.