Display Abstract

Title Spectral Curves and the Lagrangian Description of Discrete Integrable Systems

Name Anton Dzhamay
Country USA
Email adzham@unco.edu
Submit Time 2010-02-28 14:06:01
Special Session 66: Discrete Integrable Systems
I will discuss some recent joint work with I. Krichever on understanding the Lagrangian structure of discrete integrable systems in terms of the spectral curve data associated to the discrete Lax representation of such systems. Specifically, we consider certain elementary transformations on the space of rational Lax matrices, give geometric characterization of such transformation using the spectral curve, and then use it to find their generating Lagrangian function.