Integrable equations of the dispersionless Hirota type and hypersurfaces of<br/><br/>the Lagrangian Grassmanian

Friday, July 28, 2006 - 3:15pm - 4:00pm
EE/CS 3-180
Eugene Ferapontov (Loughborough University)
A multi-dimensional equation of the dispersionless Hirota type is said to be
integrable if it possesses infinitely many reductions to a family of
commuting (1+1)-dimensional systems.
The integrability conditions constitute a complicated overdetermined system
of PDEs, which is in involution. This system possesses a remarkable
Sp(6)-invariance, suggesting a connection with the theory of hypersurfaces
of the Lagrangian Grassmanian.