The  Weizmann  Institute  of  Science
                  Faculty of Mathematics and Computer Science
 
                 Mathematical Analysis and Applications Seminar
 
                     Seminar Room, Room 261, Ziskind Building
                         on Tuesday, November 22, 2011
                                  11:00 - noon
 
                            Note the unusual location 
 
                                  Oleg Mokhov
                            Moscow State University
 
                                 will speak on
 
                   Compatible metrics and integrable systems
 
Abstract:
I will talk on the theory of compatible and almost compatible metrics and its
applications. Compatible metrics generate compatible Poisson structures of
hydrodynamic type (these structures can be local or nonlocal for flat metrics
and only nonlocal if the metrics are not flat).  Compatible flat metrics gives
quasi-Frobenius manifolds and play an important role in the theory of Frobenius
manifolds. For the nonsingular (semisimple) case in which the eigenvalues of a
pair of metrics are distinct, the integration procedure for compatible flat
metrics is based on using the Zakharov method (a version of the inverse
scattering method) for integrating the classical Lam\'e equations describing
all orthogonal curvilinear coordinate systems in a flat space.
 
---------------------------------------------------------
Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from: Yaeli Malka   <yaeli.malka@weizmann.ac.il>