Softcover ISBN:  9781470414641 
Product Code:  CONM/644 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
eBook ISBN:  9781470426316 
Product Code:  CONM/644.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9781470414641 
eBook: ISBN:  9781470426316 
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 
Softcover ISBN:  9781470414641 
Product Code:  CONM/644 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
eBook ISBN:  9781470426316 
Product Code:  CONM/644.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9781470414641 
eBook ISBN:  9781470426316 
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 DetailsContemporary MathematicsVolume: 644; 2015; 359 ppMSC: 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 MongeAmpère equation, pluripotential theory, geometric partial differential equations, theories of integral operators, integrable systems and perturbative superstring theory.
ReadershipGraduate 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 SasakiRicci flow

Qiuyi Dai, XuJia Wang and Bin Zhou — The signed mean curvature measure

Eric D’Hoker — Topics in twoloop 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 HermitianEinstein metrics on nonKähler manifolds

Sławomir Kołodziej and Nguyen Ngoc Cuong — Weak solutions to the complex MongeAmpère equation on Hermitian manifolds

ChiungJu 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 HardyPólyaSzegö

MeiChi 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 — NonKähler CalabiYau manifolds

Rakesh and Gunther Uhlmann — The point source inverse backscattering problem

Yu Wang — Local Regularity of the Complex MongeAmpère Equation

Edward Witten — Notes on holomorphic string and superstring theory measures of low genus


Additional Material

RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
 Book Details
 Table of Contents
 Additional Material
 Requests
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 MongeAmpère equation, pluripotential theory, geometric partial differential equations, theories of integral operators, integrable systems and perturbative superstring theory.
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 SasakiRicci flow

Qiuyi Dai, XuJia Wang and Bin Zhou — The signed mean curvature measure

Eric D’Hoker — Topics in twoloop 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 HermitianEinstein metrics on nonKähler manifolds

Sławomir Kołodziej and Nguyen Ngoc Cuong — Weak solutions to the complex MongeAmpère equation on Hermitian manifolds

ChiungJu 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 HardyPólyaSzegö

MeiChi 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 — NonKähler CalabiYau manifolds

Rakesh and Gunther Uhlmann — The point source inverse backscattering problem

Yu Wang — Local Regularity of the Complex MongeAmpère Equation

Edward Witten — Notes on holomorphic string and superstring theory measures of low genus