Abstract: 
Quantum Yang-Mills theory is a fundamental building block of theoretical physics. The study of quantum Yang-Mills (as well as quantum field theories in general) at rigorous level has posed various challenges to mathematicians. I will talk about a dynamical approach to the problem. The dynamical formulation brings together many mathematical tools, including analysis, PDE, stochastic calculus, mixing techniques, and ideas from geometry. In particular, I will discuss the construction of gauge covariant Langevin dynamics via the theory of regularity structures. This is based on joint work with A.Chandra, I.Chevyrev, and M.Hairer.

报告人简介：

申皓，北京大学本科硕士，普林斯顿大学博士毕业，华威大学、哥伦比亚大学博士后，现为威斯康星大学教授。研究方向是随机偏微分方程、概率、数学物理。