Seminars & Colloquia Calendar

Download as iCal file


Embeddings and deformations of three-dimensional CR manifolds.

Peter Ebenfeld (UCSD)

Location:  Hill 705
Date & time: Friday, 14 February 2020 at 4:00PM - 5:00PM

Abstract: It is a classical result by L. Boutet de Movel that any compact strictly pseudoconvex (hypersurface type) CR manifold of dimension strictly greater than 3 is embeddable in \(\mathbb{C}^n\) for some \(n\). For strictly pseudoconvex CR manifold of dimension 3, the situation is more subtle. It is known that “most” are not embeddable. A characterization of embeddability in terms of a closed range property of \(\bar\partial\) was given by J. Kohn. In this talk, we shall discuss the embeddability problem for strictly pseudoconvex CR 3-folds in more geometric terms. The approach will be to realize the embeddable deformations of an already embedded CR 3-fold as a geometric flow in complex space.

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.