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.
Lake Tana, located in the headwaters of the Blue Nile, is valuable for many people including the communities who live around the lakeshore and those who live immediately downstream. The area has been identified as a region for hydropower and irrigation development, vital for economic growth in Ethiopia. A multidisciplinary study was conducted to assess the possible impacts of this development. This study found that current development has benefited some local people but adversely affected others. Future development will exacerbate pressure on the lake. Hard choices must be made about how the water is best utilized. It is important that all stakeholders, including local people, are involved in the decision-making process.
Detailing the main methods in the theory of involutive systems of complex vector fields this book examines the major results from the last twenty five years in the subject. One of the key tools of the subject - the Baouendi-Treves approximation theorem - is proved for many function spaces. This in turn is applied to questions in partial differential equations and several complex variables. Many basic problems such as regularity, unique continuation and boundary behaviour of the solutions are explored. The local solvability of systems of partial differential equations is studied in some detail. The book provides a solid background for others new to the field and also contains a treatment of many recent results which will be of interest to researchers in the subject.
Detailing the main methods in the theory of involutive systems of complex vector fields, this book examines the major results from the last 25 years in the subject. Many basic problems such as regularity, unique continuation and boundary behaviour of the solutions are explored.
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