Date: 
October 27, 2008, 13:30  15:00 
Place: 
Seminar Room at IPMU Prefab. B, Kashiwa Campus of the University of Tokyo 
Speaker: 
Michael SemenovTianShansky (University of Bourgogne) 
Title: 
Poisson groups and differential Galois theory of Schroedinger
equation on the circle.

Abstract: 
The projective geometry approach to Schroedinger
equations on the circle and the differential Galois theory are
combined with the theory of Poisson Lie groups to construct a natural
Poisson structure on the space of wave functions of the Schroedinger
equation on the circle (at the zero energy level). Applications to
KdVlike nonlinear equations are discussed.
The same approach may be applied to second order difference
operators on a onedimensional lattice, yielding an extension of the
lattice Poisson Virasoro algebra.
