Geometry and Mathematical Physics Seminar 2013/2014

Thursday 27 February 2014. The Frank Adams Room (Room 1.212), the Alan Turing Building. 3.15pm

Pencils of Operators and Their Invariants

Adam Biggs (University of Manchester)

We shall discuss the concept of a pencil lifting for the algebra of densities. In particular we will classify the space of liftings that are equivariant with respect to some natural groups: the group of all diffeomorphisms, the group of diffeomorphisms that preserve a volume form, and the projective group. Using these constructions we can find cocycles of the group of diffeomorphisms and we shall go through these constructions.