Schedule

Weekday: Wednesday

Venue: A6-101

Zoom: 388 528 9728

Password: BIMSA

Organizers

Tadahisa Funaki

Professor

Jinsong Wu

Professor

Stochastic quantization of Yang-Mills

Hao Shen

申皓

University of Wisconsin-Madison

Time: 17:00-18:00, 2025-04-23

Abstract:

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, and a proof of mass gap in the strong coupling regime. This is based on a series of works joint with A.Chandra, I.Chevyrev, M.Hairer, R.Zhu and X.Zhu.

Speaker Intro:

Hao Shen obtained PhD from Princeton University under supervision of Weinan E. After postdoctoral positions at Warwick and Columbia, he joined University of Wisconsin - Madison in 2018 and is now a professor there. Hao Shen’s research interest includes stochastic PDE, probability and mathematical physics.