Speaker: Hao Shen (University of Wisconsin)

Time: 16:00 - 17:00 p.m., Mar 11, 2025, GMT+8

Venue: Rm 77201, 78# Jingchunyuan, PKU

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.Harer.

Source: Beijing International Center for Mathematical Research, PKU