Analysis, Complex Geometry, and Mathematical Physics
In Honor of Duong H. Phong
Will be published approx. on 30. October 2015
Book
Paperback/Softback
359 pages
978-1-4704-1464-1 (ISBN)
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-Ampere equation, pluripotential theory, geometric partial differential equations, theories of integral operators, integrable systems and perturbative superstring theory.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
College/higher education
Dimensions
Height: 254 mm
Width: 178 mm
Weight
551 gr
ISBN-13
978-1-4704-1464-1 (9781470414641)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
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.
Ben Weinkove, Northwestern University, Evanston, IL, USA.
Richard A. Wentworth, University of Maryland, College Park, MD, USA.
Content
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
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