Analysis, Complex Geometry, and Mathematical Physics: In Honor of Duong H. Phong(Contemporary Mathematics)

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-Ampere equation, pluripotential theory, geometric partial differential equations, theories of integral operators, integrable systems and perturbative superstring theory.

Table of Contents:
Bergman kernel and pluripotential theory by Z. Blocki On the convergence of the Sasaki-Ricci flow by T. C. Collins and A. Jacob The signed mean curvature measure by Q. Dai, X.-J. Wang, and B. Zhou Topics in two-loop superstring perturbation theory by E. D'Hoker A rigidity theorem for hypersurfaces in higher dimensional space forms by P. Guan and X. S. Shen Continuous approximation of quasiplurisubharmonic functions by P. Eyssidieux, V. Guedj, and A. Zeriahi Discrete holomorphicity and Ising model operator formalism by C. Hongler, K. Kytola, and A. Zahabi Stable Higgs bundles and Hermitian-Einstein metrics on non-Kahler manifolds by A. Jacob Weak solutions to the complex Monge-Ampere equation on Hermitian manifolds by S. Kolodziej and N. N. Cuong Uniform asymptotic expansion on Riemann surfaces by C.-J. Liu and Z. Lu Scaling asymptotics of heat kernels of line bundles by X. Ma, G. Marinescu, and S. Zelditch Parabolic frequency monotonicity and a theorem of Hardy-Polya-Szego by L. Ni Topology of Dolbeault cohomology groups by M.-C. Shaw Uniformly bounded orthonormal sections of positive line bundles on complex manifolds by B. Shiffman Poisson equations, uniformization, and geometrical optics by M. Taylor Non-Kahler Calabi-Yau manifolds by V. Tosatti The point source inverse back-scattering problem by Rakesh and G. Uhlmann Local regularity of the complex Monge-Ampere equation by Y. Wang Notes on holomorphic string and superstring theory measures of low genus by E. Witten

About the Author :
Paul M. N. Feehan and Jian Song, Rutgers University, Piscataway, NJ, USA. Ben Weinkove, Northwestern University, Evanston, IL, USA. Richard A. Wentworth, University of Maryland, College Park, MD, USA.