تحلیل هندسی چند متغیره و موضوعات مرتبط: کارگاه مراكش در تحلیل هندسی چند متغیره و موضوعات مرتبط، ۱۰-۱۴ مه ۲۰۱۰، مراكش، مراکش

This volume contains the proceedings of the Workshop on Geometric Analysis of Several Complex Variables and Related Topics, which was held from May 10-14, 2010, in Marrakesh, Morocco. The articles in this volume present current research and future trends in the theory of several complex variables and PDE. Of note are two survey articles, the first presenting recent results on the solvability of complex vector fields with critical points while the second concerns the Lie group structure of the automorphism groups of CR manifolds. The other articles feature original research in major topics of analysis dealing with analytic and Gevrey regularity, existence of distributional traces, the $\bar\partial$-Neumann operator, automorphisms of hypersurfaces, holomorphic vector bundles, spaces of harmonic forms, and Gysin sequences This volume contains the proceedings of the Workshop on Geometric Analysis of Several Complex Variables and Related Topics, which was held from May 10–14, 2010, in Marrakesh, Morocco. The articles in this volume present current research and future trends in the theory of several complex variables and PDE. Of note are two survey articles: The first presents recent results on the solvability of complex vector fields with critical points while the second concerns the Lie group structure of the automorphism groups of CR manifolds. The other articles feature original research in major topics of analysis dealing with analytic and Gevrey regularity, existence of distributional traces, the $\bar\partial$-Neumann operator, automorphisms of hypersurfaces, holomorphic vector bundles, spaces of harmonic forms, and Gysin sequences. The 10 papers in this volume discuss several complex variables, partial differential equations, and their interactions. Some of them are expanded from lectures at the workshop. The topics include analytic vectors in locally integrable structures, the existence of trace for solutions of locally integrable systems of vector fields, splitting of holomorphic co-cycles with estimates, duality between harmonic and Bergman spaces, and the solvability and hypo-ellipticity of complex vector fields. No index is provided. Annotation ©2011 Book News, Inc., Portland, OR (booknews.com)