| Date: |
October 27, 2008, 13:30 - 15:00 |
| Place: |
Seminar Room at IPMU Prefab. B, Kashiwa Campus of the University of Tokyo |
| Speaker: |
Michael Semenov-Tian-Shansky (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
KdV-like nonlinear equations are discussed.
The same approach may be applied to second order difference
operators on a one-dimensional lattice, yielding an extension of the
lattice Poisson Virasoro algebra.
|
