Analysis, complex geometry, and mathematical physics : in honor of Duong H. Phong : May 7-11, 2013, Columbia University, New York, New York
著者
書誌事項
Analysis, complex geometry, and mathematical physics : in honor of Duong H. Phong : May 7-11, 2013, Columbia University, New York, New York
（Contemporary mathematics, 644）
American Mathematical Society, c2015
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注記
Other editors: Jian Song, Ben Weinkove, Richard A. Wentworth
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
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
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