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Analysis, complex geometry, and mathematical physics : in honor of Duong H. Phong / [edited by] Paul M.N. Feehan...[et al.].

By: Contributor(s): Material type: TextTextSeries: Contemporary mathematics ; 644.Publication details: Providence : American Mathematical Society, 2015.Description: xxii, 359 p. : illustrations; 26 cmISBN:
  • 9781470414641 (pbk. : acidfree paper)
Subject(s): DDC classification:
  • 510 23 Am512c
Contents:
Bergman kernel and pluripotential theory / Zbigniew Błocki -- On the convergence of the Sasaki-Ricci flow / Tristan C. Collins and Adam Jacob -- The signed mean curvature measure / Qiuyi Dai, Xu-Jia Wang and Bin Zhou -- Topics in two-loop superstring perturbation theory / Eric D'Hoker -- A rigidity theorem for hypersurfaces in higher dimensional space forms / Pengfei Guan and Xi Sisi Shen -- Continuous approximation of quasiplurisubharmonic functions / Philippe Eyssidieux, Vincent Guedj and Ahmed Zeriahi -- Discrete holomorphicity and Ising model operator formalism / Clément Hongler, Kalle Kytölä and Ali Zahabi -- Stable Higgs bundles and Hermitian-Einstein metrics on non-Kähler manifolds / Adam Jacob -- Weak solutions to the complex Monge-Ampère equation on Hermitian manifolds / Sławomir Kołodziej and Nguyen Ngoc Cuong -- Uniform asymptotic expansionon Riemann surfaces / Chiung-Ju Liu and Zhiqin Lu -- Scaling asymptotics of heat kernels of line bundles / Xiaonan Ma, George Marinescu and Steve Zelditch -- Parabolic frequency monotonicity and a theorem of Hardy-Pólya-Szegö / Lei Ni -- Topology of Dolbeault cohomology groups / Mei-Chi Shaw -- Uniformly bounded orthonormal sections of positive line bundles on complex manifolds / Bernard Shiffman -- Poisson Equations, Uniformization, and Geometrical Optics / Michael Taylor -- Non-Kähler Calabi-Yau manifolds / Valentino Tosatti -- The point source inverse back-scattering problem / Rakesh and Gunther Uhlmann -- Local Regularity of the Complex Monge-Ampère Equation / Yu Wang -- Notes on holomorphic string and superstring theory measures of low genus / Edward Witten --
Summary: 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.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 510 Am512c (Browse shelf(Opens below)) Available 136708
Total holds: 0

Includes bilbiographical references.

Bergman kernel and pluripotential theory / Zbigniew Błocki --
On the convergence of the Sasaki-Ricci flow / Tristan C. Collins and Adam Jacob --
The signed mean curvature measure / Qiuyi Dai, Xu-Jia Wang and Bin Zhou --
Topics in two-loop superstring perturbation theory / Eric D'Hoker --
A rigidity theorem for hypersurfaces in higher dimensional space forms / Pengfei Guan and Xi Sisi Shen --
Continuous approximation of quasiplurisubharmonic functions / Philippe Eyssidieux, Vincent Guedj and Ahmed Zeriahi --
Discrete holomorphicity and Ising model operator formalism / Clément Hongler, Kalle Kytölä and Ali Zahabi --
Stable Higgs bundles and Hermitian-Einstein metrics on non-Kähler manifolds / Adam Jacob --
Weak solutions to the complex Monge-Ampère equation on Hermitian manifolds / Sławomir Kołodziej and Nguyen Ngoc Cuong --
Uniform asymptotic expansionon Riemann surfaces / Chiung-Ju Liu and Zhiqin Lu --
Scaling asymptotics of heat kernels of line bundles / Xiaonan Ma, George Marinescu and Steve Zelditch --
Parabolic frequency monotonicity and a theorem of Hardy-Pólya-Szegö / Lei Ni --
Topology of Dolbeault cohomology groups / Mei-Chi Shaw --
Uniformly bounded orthonormal sections of positive line bundles on complex manifolds / Bernard Shiffman --
Poisson Equations, Uniformization, and Geometrical Optics / Michael Taylor --
Non-Kähler Calabi-Yau manifolds / Valentino Tosatti --
The point source inverse back-scattering problem / Rakesh and Gunther Uhlmann --
Local Regularity of the Complex Monge-Ampère Equation / Yu Wang --
Notes on holomorphic string and superstring theory measures of low genus / Edward Witten --

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.

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