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 are two survey articles on complex Brunn-Minkowski theory and the regularity of systems of complex vector fields and their associated Laplacians.
B. 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
M. Celik and Y. E. Zeytuncu, Analysis on the intersection of pseudoconvex
domains
D. Chakrabarti and R. Shafikov, Distributional boundary values: some new
perspectives
G. Della Sala, B. Lamel, and M. Reiter, Infinitesimal and local rigidity of
mappings of CR manifolds
M. Derridj, On some systems of real or complex vector fields and their
related Laplacians
P. Ebenfelt, On the HJY gap conjecture in CR geometry vs. the SOS conjecture
for polynomials
P. Gupta, Lower-dimensional Fefferman measures via the Bergman kernel
M. Kolar, I. Kossovskiy, and D. Zaitsev, Normal forms in Cauchy-Riemann
geometry
S. Seto, Bergman kernel asymptotics through perturbation.
Shiferaw Berhanu, Temple University, Philadelphia, PA.
Nordine Mir, Texas A&M University at Qatar, Doha, Qatar.
Emil J. Straube, Texas A&M University, College Station, TX.
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