Linear differential operators on contact manifolds
Speaker: Valentin Ovsienko, University of Lyon 1
Abstract: (Joint with Charles Conley) We consider differential operators between sections of arbitrary powers of the determinant line bundle over a contact manifold. Our main result is an intrinsically defined "subsymbol" of a differential operator, which is a differential invariant of degree one lower than that of the principal symbol. In particular, this subsymbol associates a contact vector field to an arbitrary second order linear differential operator.
Room Reservation Information
Room Number: 106 McAllister
Time: 2:30pm - 3:30pm