Algebra Seminar

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

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).

Date: Tuesday, November 12, 2002
Time: 4:10pm
Where: Lunt 104
Contact Person: Prof. Matthew Emerton
Contact email: emerton@math.northwestern.edu
Contact Phone: 847-491-5544
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