Multiple SLEs and Dyson Brownian motion

• 主讲人：Hao Wu (Tsinghua University)
• 举办方： Beijing-Saint Petersburg Mathematics Colloquium
• 时间： 2024-01-04 20:00 - 2024-01-04 21:00
• 地点： online

Recording: https://disk.pku.edu.cn:443/link/6635F43357C55A250F7FD461806C16DC
Valid Until: 2025-02-01 23:59

 

Abstract: Multiple SLEs come naturally as the scaling limit of multiple interfaces in 2-dimensional statistical physics models. Dyson Brownian motion usually describes the movement of trajectory of independent Brownian motions under mutual repulsion. In this talk, we will describe the connection between multiple SLE and Dyson Brownian motion. It turns out that, under proper time-parameterization, and conditioning on a rare event, the driving function of multiple SLEs becomes Dyson Brownian motion. Using such a connection, we may translate estimates on Dyson Brownian motion to estimates on multiple SLEs. 

 

Bio: Hao Wu obtained her bachelor’s degree from Tsinghua University in 2009 and obtained her PhD  from University of Paris-sud in 2013. She was a C.L.E. Moore instructor at MIT from 2013 to 2015 and was a postdoc researcher at Geneva University from 2015 to 2017. In 2017, she came back to Tsinghua University as a professor. 

Hao Wu works on statistical physical models such as stochastic process Schramm-Loewner Evolution, Gaussian free field and Ising model. Hao Wu’s series of works find the scaling limits of a general class of boundary-to-boundary connection probabilities and multiple interfaces in the 2-dimensional critical lattice models. They verified predictions from the physics literature and provided evidence of the expected conformal field theory of these models.