EVENT DETAILS AND ABSTRACT

Title: Solitons and D-modules
Speaker: Professor David Ben-Zvi
Speaker Info: University of Chicago
Brief Description:
Special Note:
Abstract:

We describe a geometric approach to soliton equations as flows on projective D-modules (or "D-bundles") on an algebraic curve (joint with T. Nevins). D-bundles are not locally trivial in general, but become so when the curve develops cusps. We show (using the Fourier-Mukai transform) that as the D-bundle evolves by the KP equations, the positions of these cusps move according to a simple algebraically integrable many-body system (the Calogero-Moser system).