From International Press

Surveys in Differential Geometry
Volume 13

Geometry, Analysis, and Algebraic Geometry

Edited by
Huai-Dong Cao (Lehigh University)
Shing-Tung Yau (Harvard University)

Publication details

Hardcover. 318 pages.
ISBN-13: 978-1-57146-138-4
ISBN-10: 1-57146-138-8
2000 MSC: 53C44
Published: August 2009
Publisher: International Press of Boston
List price $85. Discounts may apply.

Table of Contents

  • Special Lagrangian fibrations, wall-crossing, and mirror symmetry
    Denis Auroux
  • Sphere theorems in geometry
    Simon Brendle and Richard Schoen
  • Geometric Langlands and non-Abelian Hodge theory
    Ron Donagi and Tony Pantev
  • Developments around positive sectional curvature
    Karsten Grove
  • Einstein metrics, four-manifolds, and conformally Kähler geometry
    Claude LeBrun
  • Existence of Faddeev knots
    Fengbo Hang, Fanghua Lin, and Yisong Yang
  • Milnor K2 and field homomorphisms
    Fedor Bogomolov and Yuri Tschinkel
  • Arakelov inequalities
    Eckart Viehweg
  • A survey of Calabi-Yau manifolds
    Shing-Tung Yau

About the series

The editors of the highly esteemed Journal of Differential Geometry (published by International Press) each year present a new volume of Surveys in Differential Geometry, a collection of original contributions upon a specially chosen topic pertaining to differential geometry and related topics. The series presents an overview of recent trends, while making predictions and suggestions for future research.

Each invited contributor is a prominent specialist in the field of algebraic geometry, mathematical physics, or related areas. Contributors to Surveys tend to transcend classical frameworks within their field.

Once every three years, Lehigh University and Harvard University, in conjunction with the editors of the JDG, sponsor a conference whose purpose is to survey the general field of differential geometry and related subjects. Speakers at the conference are likewise selected for their prominence in a given field and for their innovative contributions to it. Hence every third volume of Surveys is a publication of those presented talks.

The Surveys in Differential Geometry series is a beneficial collection for experts and non-experts alike, and in particular, for those independent of the mainstream of activity in the field of geometry.

Recent volumes of the Surveys in Differential Geometry series

Volume 12: Geometric Flows
Volume 11: Metric and Comparison Geometry
Volume 10: Essays in Geometry in Memory of S.S. Chern
Volume 9: Eigenvalues of Laplacians and Other Geometric Operators
Volume 8: Lectures on Geometry and Topology held in honor of Calabi, Lawson, Siu, and Uhlenbeck at Harvard University

To order

To order this title from International Press:
e-mail ipb-orders@intlpress.com, fax 617-623-3101, telephone 617-623-3016.
Or write to: Attn: Customer Service, International Press, P.O. Box 43502, Somerville, MA 02143, USA.