Constrained Schlesinger system

Jul 2, 2021, 2:30 PM
40m
Chair: Tamara Grava

Chair: Tamara Grava

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

Presentation materials