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Tau-function on Hurwitz spaces and spaces of holomorphic differentials on Riemann surfaces and new relations in Picard group of these spaces.

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Speaker: 
Dmitry Korotkin
Affiliation: 
Concordia U/MPI
Date: 
Mon, 17/01/2011 - 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
Topics in Topology

The goal of the talk is to show how structures from the theory of integrable systems can be applied to study geometry of various moduli spaces: spaces of admissible covers and spaces of abelian and quadratic differentials on Riemann surfaces. The central object is the so-called Jimbo-Miwa tau-function corresponding to isomonodromic deformations of linear systems of differential equations with meromorphic coefficients. The talk is based on joint works with A.Kokotov and P.Zograf.

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