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International Conference "Analytic Theory of Differential and Difference Equations" Dedicated to the Memory of Andrey Bolibrukh
February 2, 2021 17:00, online, Moscow

Algebro-geometric solutions to the $2\times2$ Schlesinger systems

Vasilisa Shramchenko

University of Sherbrooke, Canada



Abstract: A $2\times2$ Schlesinger system is naturally associated with a family of hyperelliptic curves. In some cases, one can solve the Schlesinger system in terms of various quantities defined on these curves. We'll discuss and compare two such solutions and their tau-functions.

Language: English

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