Symplectic geometry and formal integrability

Thierry Robart (trobart@fac.howard.edu)
Howard University
Mathematics Department
Academic Support Building B 2441 6th Street,
N.W.

Abstract

In an attempt to prove rigorously that a formally integrable equation is indeed integrable one can analyze formal integrability from the point of view of symplectic geometry. In such a framework the integrability question of the Lie algebra of pseudodifferential operators plays a pivotal role. Ideas and challenges will be presented. This is a joint work with Enrique Reyes.