Speaker
Prof.
Vasilisa Shramchenko
(University of Sherbook)
Description
We propose a modification of the classical Schlesinger system where some of the independent variables become functions of the other variables. This construction is motivated by considering a special variation of a hyperelliptic curve related to generalized Chebyshev polynomials. We also construct an algebro-geometric solution to the constrained Schlesinger system in terms of such a family of hyperelliptic curves.
This is a joint work with Vladimir Dragovic (UTD).
Primary author
Prof.
Vasilisa Shramchenko
(University of Sherbook)
Co-author
Prof.
Vladimir Dragovic