Linear differential operators on contact manifolds

GAP Seminar

Meeting Details

For more information about this meeting, contact Nigel Higson, Mathieu StiƩnon, Ping Xu.

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

Date: 10/02/2012

Time: 2:30pm - 3:30pm