University of Toronto's Symplectic Geometry Seminar

March 17, 2008, 2:10pm
Bahen 6183

Kirill Vaninsky

Michigan State University

Poisson formalism for integrable systems and Riemann surfaces


Until now Poisson brackets for integrable systems and associated spectral curves were considered as separate objects. In this talk we explain how Poisson brackets can be obtained from the spectral curves. Novel approach allows to recover known solutions of the Yang-Baxter equation in elementary way.