Dimitry Korotkin's seminar at SISSA

[Emanuele Tuillier Illingworth]

MATHEMATICAL PHYSICS SEMINAR


SISSA, Wednesday 4th of May, room 136,  2.30-3.30pm

Speaker: Dimitry Korotkin, Concordia University, Montreal

Title: Periods of meromorphic quadratic differentials and Goldman bracket

Abstract:  We study symplectic properties of the monodromy map of a 
second order  linear equation with meromorphic potential with simple 
zeros  on a Riemann surface. We show that the canonical symplectic 
structure on the cotangent bundle $T^*\Mcal_{g,n}$ implies, under the 
monodrowy map, the Goldman Poisson structure on the corresponding 
character variety, thereby extending the recent results of the paper of 
M.Bertola, C.Norton and the author to the case of meromorphic potentials 
with simple zeros.