Analysis, complex geometry, and mathematical physics

Description:

This volume contains the proceedings of the Conference on Analysis, Complex Geometry and Mathematical Physics: In Honor of Duong H. Phong, which was held from May 7-11, 2013, at Columbia University, New York. The conference featured thirty speakers who spoke on a range of topics reflecting the breadth and depth of the research interests of Duong H. Phong on the occasion of his sixtieth birthday. A common thread, familiar from Phong's own work, was the focus on the interplay between the deep tools of analysis and the rich structures of geometry and physics. Papers included in this volume cover topics such as the complex Monge-Ampère equation, pluripotential theory, geometric partial differential equations, theories of integral operators, integrable systems and perturbative superstring theory.

subjects: Differential Geometry,  Congresses,  Mathematical physics,  Potential theory -- Other generalizations -- Pluriharmonic and plurisubharmonic functions,  Several complex variables and analytic spaces -- Compact analytic spaces -- Transcendental methods of algebraic geometry,  Differential geometry -- Global differential geometry -- Special connections and metrics on vector bundles (Hermite-Einstein-Yang-Mills),  Partial differential equations -- Miscellaneous topics -- Partial differential equations on manifolds,  Differential geometry -- Global differential geometry -- Geometric evolution equations (mean curvature flow, Ricci flow, etc.).,  Differential geometry -- Global differential geometry -- Applications to physics,  Geometry, differential,  Potential theory (mathematics),  Differential geometry -- Global differential geometry -- Geometric evolution equations (mean curvature flow, Ricci flow, etc.)