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New Developments in Algebraic Geometry, Integrable Systems and Mirror Symmetry (RIMS, Kyoto, 2008)
Edited by: Masa-Hiko Saito, Kobe University, Japan, Shinobu Hosono, University of Tokyo, Japan, and Kōta Yoshioka, Kobe University, Japan
A publication of the Mathematical Society of Japan.
cover
Advanced Studies in Pure Mathematics
2010; 451 pp; hardcover
Volume: 59
ISBN-10: 4-931469-62-0
ISBN-13: 978-4-931469-62-4
List Price: US$76
Member Price: US$60.80
Order Code: ASPM/59
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In the last two decades, many important developments and interactions in algebraic geometry and integrable systems have arisen from ideas in mirror symmetry.

The conference "New Developments in Algebraic Geometry, Integrable Systems and Mirror Symmetry" was held at RIMS, Kyoto University on January 7-11, 2008, to explore recent developments and interactions in various mathematical fields, such as algebraic geometry, integrable systems, Gromov-Witten theory and symplectic geometry and, in particular, to explore the developments and interactions coming from ideas in mirror symmetry. This volume is the outcome of that conference and consists of twelve contributed papers by invited speakers. Readers will find beneficial expositions on various aspects and interesting interactions in these mathematical fields.

Volumes in this series are freely available electronically 5 years post-publication.

Published for the Mathematical Society of Japan by Kinokuniya, Tokyo, and distributed worldwide, except in Japan, by the AMS.

Readership

Graduate students and research mathematicians interested in algebraic geometry and mirror symmetry.

Table of Contents

  • K. Chan and N. C. Leung -- On SYZ mirror transformations
  • A. R. Hodge and M. Mulase -- Hitchin integrable systems, deformations of spectral curves, and KP-type equations
  • S. Hosono -- BCOV ring and holomorphic anomaly equation
  • H. Iritani -- Ruan's conjecture and integral structures in quantum cohomology
  • B. Kim -- Logarithmic stable maps
  • T. Nakatsu and K. Takasaki -- Integrable structure of melting crystal model with external potentials
  • N. A. Nekrasov -- Two dimensional topological strings and gauge theory
  • R. Pandharipande and A. Zinger -- Enumerative geometry of Calabi-Yau 5-folds
  • C. Sabbah -- Fourier-Laplace transform of a variation of polarized complex Hodge structure, II
  • J. Stienstra -- Computation of principal \(\mathcal{A}\)-determinants through dimer dynamics
  • A. Takahashi -- Weighted projective lines associated to regular systems of weights of dual type
  • Y. Toda -- Generating functions of stable pair invariants via wall-crossings in derived categories
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