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Algebraic Geometry: Seattle 2005
 
Edited by: D. Abramovich Brown University, Providence, RI
A. Bertram University of Utah, Salt Lake City, UT
L. Katzarkov University of Miami, Coral Gables, FL
R. Pandharipande Princeton University, Princeton, NJ
M. Thaddeus Columbia University, New York, NJ
Front Cover for Algebraic Geometry
Available Formats:
Hardcover ISBN: 978-0-8218-4702-2
Product Code: PSPUM/80.1
List Price: $122.00
MAA Member Price: $109.80
AMS Member Price: $97.60
Electronic ISBN: 978-0-8218-9387-6
Product Code: PSPUM/80.1.E
List Price: $115.00
MAA Member Price: $103.50
AMS Member Price: $92.00
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $183.00
MAA Member Price: $164.70
AMS Member Price: $146.40
Front Cover for Algebraic Geometry
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Algebraic Geometry: Seattle 2005
Edited by: D. Abramovich Brown University, Providence, RI
A. Bertram University of Utah, Salt Lake City, UT
L. Katzarkov University of Miami, Coral Gables, FL
R. Pandharipande Princeton University, Princeton, NJ
M. Thaddeus Columbia University, New York, NJ
Available Formats:
Hardcover ISBN:  978-0-8218-4702-2
Product Code:  PSPUM/80.1
List Price: $122.00
MAA Member Price: $109.80
AMS Member Price: $97.60
Electronic ISBN:  978-0-8218-9387-6
Product Code:  PSPUM/80.1.E
List Price: $115.00
MAA Member Price: $103.50
AMS Member Price: $92.00
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $183.00
MAA Member Price: $164.70
AMS Member Price: $146.40
  • Book Details
     
     
    Proceedings of Symposia in Pure Mathematics
    Volume: 802009; 487 pp
    MSC: Primary 14; Secondary 11; 18; 32; 53; 55;

    The 2005 AMS Summer Institute on Algebraic Geometry in Seattle was an enormous event. With over 500 participants, including many of the world's leading experts, it was perhaps the largest conference on algebraic geometry ever held. These two proceedings volumes present research and expository papers by some of the most outstanding speakers at the meeting, vividly conveying the grandeur and vigor of the subject.

    The most exciting topics in current algebraic geometry research receive very ample treatment. For instance, there is enlightening information on many of the latest technical tools, from jet schemes and derived categories to algebraic stacks. Numerous papers delve into the geometry of various moduli spaces, including those of stable curves, stable maps, coherent sheaves, and abelian varieties. Other papers discuss the recent dramatic advances in higher-dimensional birational geometry, while still others trace the influence of quantum field theory on algebraic geometry via mirror symmetry, Gromov–Witten invariants, and symplectic geometry.

    The proceedings of earlier algebraic geometry AMS Institutes, held at Woods Hole, Arcata, Bowdoin, and Santa Cruz, have become classics. The present volumes promise to be equally influential. They present the state of the art in algebraic geometry in papers that will have broad interest and enduring value.

    Readership

    Graduate students and research mathematicians interested in algebraic geometry.

    This item is also available as part of a set:
  • Table of Contents
     
     
    • Articles
    • Tom Bridgeland - Spaces of stability conditions [ MR 2483930 ]
    • Jim Bryan and Tom Graber - The crepant resolution conjecture [ MR 2483931 ]
    • Ralph L. Cohen and Ib Madsen - Surfaces in a background space and the homology of mapping class groups [ MR 2483932 ]
    • Izzet Coskun and Ravi Vakil - Geometric positivity in the cohomology of homogeneous spaces and generalized Schubert calculus [ MR 2483933 ]
    • Gavril Farkas - The global geometry of the moduli space of curves [ MR 2483934 ]
    • Mark Gross - The Strominger-Yau-Zaslow conjecture: from torus fibrations to degenerations [ MR 2483935 ]
    • Samuel Grushevsky - Geometry of $\mathcal {A}_g$ and its compactifications [ MR 2483936 ]
    • Daniel Huybrechts - The global Torelli theorem: classical, derived, twisted [ MR 2483937 ]
    • Andrew Kresch - On the geometry of Deligne-Mumford stacks [ MR 2483938 ]
    • Adrian Langer - Moduli spaces of sheaves and principal $G$-bundles [ MR 2483939 ]
    • Y.-P. Lee - Notes on axiomatic Gromov-Witten theory and applications [ MR 2483940 ]
    • A. Okounkov and R. Pandharipande - Gromov-Witten theory, Hurwitz numbers, and matrix models [ MR 2483941 ]
    • Paul Seidel - Symplectic homology as Hochschild homology [ MR 2483942 ]
    • Bertrand Toën - Higher and derived stacks: a global overview [ MR 2483943 ]
  • Additional Material
     
     
  • Request Review Copy
  • Get Permissions
Volume: 802009; 487 pp
MSC: Primary 14; Secondary 11; 18; 32; 53; 55;

The 2005 AMS Summer Institute on Algebraic Geometry in Seattle was an enormous event. With over 500 participants, including many of the world's leading experts, it was perhaps the largest conference on algebraic geometry ever held. These two proceedings volumes present research and expository papers by some of the most outstanding speakers at the meeting, vividly conveying the grandeur and vigor of the subject.

The most exciting topics in current algebraic geometry research receive very ample treatment. For instance, there is enlightening information on many of the latest technical tools, from jet schemes and derived categories to algebraic stacks. Numerous papers delve into the geometry of various moduli spaces, including those of stable curves, stable maps, coherent sheaves, and abelian varieties. Other papers discuss the recent dramatic advances in higher-dimensional birational geometry, while still others trace the influence of quantum field theory on algebraic geometry via mirror symmetry, Gromov–Witten invariants, and symplectic geometry.

The proceedings of earlier algebraic geometry AMS Institutes, held at Woods Hole, Arcata, Bowdoin, and Santa Cruz, have become classics. The present volumes promise to be equally influential. They present the state of the art in algebraic geometry in papers that will have broad interest and enduring value.

Readership

Graduate students and research mathematicians interested in algebraic geometry.

This item is also available as part of a set:
  • Articles
  • Tom Bridgeland - Spaces of stability conditions [ MR 2483930 ]
  • Jim Bryan and Tom Graber - The crepant resolution conjecture [ MR 2483931 ]
  • Ralph L. Cohen and Ib Madsen - Surfaces in a background space and the homology of mapping class groups [ MR 2483932 ]
  • Izzet Coskun and Ravi Vakil - Geometric positivity in the cohomology of homogeneous spaces and generalized Schubert calculus [ MR 2483933 ]
  • Gavril Farkas - The global geometry of the moduli space of curves [ MR 2483934 ]
  • Mark Gross - The Strominger-Yau-Zaslow conjecture: from torus fibrations to degenerations [ MR 2483935 ]
  • Samuel Grushevsky - Geometry of $\mathcal {A}_g$ and its compactifications [ MR 2483936 ]
  • Daniel Huybrechts - The global Torelli theorem: classical, derived, twisted [ MR 2483937 ]
  • Andrew Kresch - On the geometry of Deligne-Mumford stacks [ MR 2483938 ]
  • Adrian Langer - Moduli spaces of sheaves and principal $G$-bundles [ MR 2483939 ]
  • Y.-P. Lee - Notes on axiomatic Gromov-Witten theory and applications [ MR 2483940 ]
  • A. Okounkov and R. Pandharipande - Gromov-Witten theory, Hurwitz numbers, and matrix models [ MR 2483941 ]
  • Paul Seidel - Symplectic homology as Hochschild homology [ MR 2483942 ]
  • Bertrand Toën - Higher and derived stacks: a global overview [ MR 2483943 ]
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