10 Jan 2018; Dept Math & Stat (UiT), room U1=A228. Wednesday 12:30-13:30

Eivind Schneider

"Differential Invariants of Einstein-Weyl structures".

Einstein-Weyl structures on a three-dimensional manifold M is given by a system E of PDEs on a section of a bundle over M. This system is invariant under the Lie pseudogroup G of local diffeomorphisms on M. The goal is to describe the quotient equation E/G, whose solutions correspond to nonequivalent Einstein-Weyl structures. The approach uses symmetries of the Manakov-Santini integrable system and the action of the corresponding Lie pseudogroup.

Joint work with Boris Kruglikov.