报 告 题 目：Fock-Goncharov parametrization of (generalized) monodromy groups and connection with the theory of WKB

主 讲 人：Marco Bertola

单 位：Concordia University

时 间：3月2日、3月9日9:00

ZOOM ID：567-306-5241

密 码：123456

摘 要：

The (generalized) monodromy representation, also known as (wild) character variety can be effectively parametrized in terms of a construction derived from the works of V. Fock and A. Goncharov. I will explain this construction and some of its applications to the symplectic geometry of the (wild) character variety.With this description in mind I will explain how the FG coordinates can be related to the so—called Voros symbols stemming from the (exact) Wentzel—Kramers—Brillouin (WKB) analysis of asymptotics of solutions of the (stationary) Schrödinger equation on a Riemann surface, i.e. opers.

简 介：

Prof. Marco Bertola, Dept. of Mathematics and Statistics, Concordia University. He got his PHD degree in 1999 at SISSA–ISAS (Trieste). His research interests are distributed in many areas of mathematical physics: Symplectic geometry of moduli spaces and character varieties; Inverse problems and spectral theory; Orthogonal functions, integrable systems and nonlinear waves;  Random Matrices and Random Point Fields, etc.  His works has been published in the well-known journals: Comm. Math. Phys., J. Phys. A, Int. Math. Res. Not. , Adv. Math., Invent. Math., J. Diff. Geom., etc.