Analysis and Geometry in Several Complex Variables
About this Title
Shiferaw Berhanu, Temple University, Philadelphia, PA, Nordine Mir, Texas A&M University at Qatar, Doha, Qatar and Emil J. Straube, Texas A&M University, College Station, TX, Editors
Publication: Contemporary Mathematics
Publication Year: 2017; Volume 681
ISBNs: 978-1-4704-2255-4 (print); 978-1-4704-3663-6 (online)
This volume contains the proceedings of the workshop on Analysis and Geometry in Several Complex Variables, held from January 4–8, 2015, at Texas A&M University at Qatar, Doha, Qatar.
This volume covers many topics of current interest in several complex variables, CR geometry, and the related area of overdetermined systems of complex vector fields, as well as emerging trends in these areas.
Papers feature original research on diverse topics such as the rigidity of CR mappings, normal forms in CR geometry, the d-bar Neumann operator, asymptotic expansion of the Bergman kernel, and hypoellipticity of complex vector fields. Also included are two survey articles on complex Brunn-Minkowski theory and the regularity of systems of complex vector fields and their associated Laplacians.
Graduate students and research mathematicians interested in various aspects of several complex variables.
Table of Contents
- Bo Berndtsson – Real and complex Brunn-Minkowski theory
- C. Campana, P. L. Dattori da Silva and A. Meziani – Properties of solutions of a class of hypocomplex vector fields
- Mehmet Çelik and Yunus E. Zeytuncu – Analysis on the intersection of pseudoconvex domains
- Debraj Chakrabarti and Rasul Shafikov – Distributional boundary values: some new perspectives
- Giuseppe Della Sala, Bernhard Lamel and Michael Reiter – Infinitesimal and local rigidity of mappings of CR manifolds
- Makhlouf Derridj – On some systems of real or complex vector fields and their related Laplacians
- Peter Ebenfelt – On the HJY Gap Conjecture in CR geometry vs. the SOS Conjecture for polynomials
- Purvi Gupta – Lower-dimensional Fefferman measures via the Bergman kernel
- Martin Kolar, Ilya Kossovskiy and Dmitri Zaitsev – Normal forms in Cauchy-Riemann geometry
- Shoo Seto – Bergman kernel asymptotics through perturbation