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Solving a Riemann Hilbert Problem via Theta functions

Massimo Gisonni
Institution: 
SISSA
Location: 
A-136
Schedule: 
Friday, July 12, 2019 - 11:00
Abstract: 

Theta functions yield a well-defined map on the universal cover of a Riemann surface once a choice of canonical homology basis has been made. We will see how this machinery can be applied, in the case of hyperelliptic curves, to construct explicit solutions to a particular Riemann Hilbert problem and to compute the Tau function of the associated isomonodromy problem.

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