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Analysis, Complex Geometry, and Mathematical Physics: In Honor of Duong H. Phong
 
Edited by: Paul M. N. Feehan Rutgers University, Piscataway, NJ
Jian Song Rutgers University, Piscataway, NJ
Ben Weinkove Northwestern University, Evanston, IL
Richard A. Wentworth University of Maryland, College Park, MD
Analysis, Complex Geometry, and Mathematical Physics
Softcover ISBN:  978-1-4704-1464-1
Product Code:  CONM/644
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-2631-6
Product Code:  CONM/644.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-1464-1
eBook: ISBN:  978-1-4704-2631-6
Product Code:  CONM/644.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Analysis, Complex Geometry, and Mathematical Physics
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Analysis, Complex Geometry, and Mathematical Physics: In Honor of Duong H. Phong
Edited by: Paul M. N. Feehan Rutgers University, Piscataway, NJ
Jian Song Rutgers University, Piscataway, NJ
Ben Weinkove Northwestern University, Evanston, IL
Richard A. Wentworth University of Maryland, College Park, MD
Softcover ISBN:  978-1-4704-1464-1
Product Code:  CONM/644
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-2631-6
Product Code:  CONM/644.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-1464-1
eBook ISBN:  978-1-4704-2631-6
Product Code:  CONM/644.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 6442015; 359 pp
    MSC: Primary 31; 32; 53; 35;

    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.

    Readership

    Graduate students and research mathematicians interested in partial differential equations, complex analysis, and mathematical physics.

  • Table of Contents
     
     
    • Articles
    • Zbigniew Błocki — Bergman kernel and pluripotential theory
    • Tristan C. Collins and Adam Jacob — On the convergence of the Sasaki-Ricci flow
    • Qiuyi Dai, Xu-Jia Wang and Bin Zhou — The signed mean curvature measure
    • Eric D’Hoker — Topics in two-loop superstring perturbation theory
    • Pengfei Guan and Xi Sisi Shen — A rigidity theorem for hypersurfaces in higher dimensional space forms
    • Philippe Eyssidieux, Vincent Guedj and Ahmed Zeriahi — Continuous approximation of quasiplurisubharmonic functions
    • Clément Hongler, Kalle Kytölä and Ali Zahabi — Discrete holomorphicity and Ising model operator formalism
    • Adam Jacob — Stable Higgs bundles and Hermitian-Einstein metrics on non-Kähler manifolds
    • Sławomir Kołodziej and Nguyen Ngoc Cuong — Weak solutions to the complex Monge-Ampère equation on Hermitian manifolds
    • Chiung-Ju Liu and Zhiqin Lu — Uniform asymptotic expansion on Riemann surfaces
    • Xiaonan Ma, George Marinescu and Steve Zelditch — Scaling asymptotics of heat kernels of line bundles
    • Lei Ni — Parabolic frequency monotonicity and a theorem of Hardy-Pólya-Szegö
    • Mei-Chi Shaw — Topology of Dolbeault cohomology groups
    • Bernard Shiffman — Uniformly bounded orthonormal sections of positive line bundles on complex manifolds
    • Michael Taylor — Poisson Equations, Uniformization, and Geometrical Optics
    • Valentino Tosatti — Non-Kähler Calabi-Yau manifolds
    • Rakesh and Gunther Uhlmann — The point source inverse back-scattering problem
    • Yu Wang — Local Regularity of the Complex Monge-Ampère Equation
    • Edward Witten — Notes on holomorphic string and superstring theory measures of low genus
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 6442015; 359 pp
MSC: Primary 31; 32; 53; 35;

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.

Readership

Graduate students and research mathematicians interested in partial differential equations, complex analysis, and mathematical physics.

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