Analysis and PDE

•  Dapeng Zhan, MSU
•  Schramm-Loewner evolution and hypergeometric functions
•  04/07/2021
•  4:00 PM - 5:00 PM
•  Online (virtual meeting) (Virtual Meeting Link)
•  Dapeng Zhan (zhan@msu.edu)

Schramm-Loewner evolution (SLE for short) is a family of random fractal curves, which describe the scaling limits of some lattice models. When one studies SLE with additional marked points, and requires that those SLE satisfy certain nice properties, some special functions come into play. They arise as the solution of some second-order partial differential equations. In this talk, I will describe how the one-variable and multi-variable hypergeometric functions are used to study the time-reversal of SLE$_\kappa(\rho_1,\dots,\rho_m)$ curves. We use the same zoom link ant passcode as before.

Contact

Department of Mathematics
Michigan State University