一、报告题目

Weak Universalities of Some Singular Stochastic PDEs (I)

二、主讲人

许惟钧

三、报告时间

2022年10月24日 19:30-22:00

四、报告地点

腾讯会议

五、摘要

Some stochastic PDEs are expected to be universal in the sense that they describe the macroscopic behaviour of a large class of microscopic statistical physics models. But the equations themsevles are ill-posed in the sense that they involve products of distributions, and hence the solutions are interpreted after suitable renormalisations by infinite quantities. We will use KPZ and \Phi^4_3 as two examples to explain the meanings are these infinities, and illustrate the universality features of these two equations. The talks will briefly go through solution theories to singular SPDEs, Hairer-Quastel weak universality problems, and then dive into some details in recent developments.

六、主讲人简介

许惟钧，北京大学北京国际数学研究中心助理教授，研究方向为随机分析与随机偏微分方程。

七、主办单位

非线性期望前沿科学中心

数学与交叉科学研究中心