# Meeting Details

For more information about this meeting, contact Dmitri Burago, John Roe, Anatole Katok.

Title: A Paneitz-type operator for CR pluriharmonic functions Geometry Luncheon Seminar Jeffrey Case, Princeton University Abstract: We introduce a fourth order CR invariant operator on pluriharmonic functions on a three-dimensional CR manifold, generalizing to the abstract setting the operator discovered by Branson, Fontana and Morpurgo. For a distinguished class of contact forms, all of which have vanishing Hirachi-$Q$ curvature, these operators determine a new scalar invariant with properties analogous to the usual $Q$-curvature. We discuss how these are similar to the (conformal) Paneitz operator and $Q$-curvature of a four-manifold, and describe its relation to some problems for three-dimensional CR manifolds. This is joint work with Paul Yang.

### Room Reservation Information

Room Number: MB114 02 / 19 / 2014 12:05pm - 01:20pm