**Proceedings of Symposia in Pure Mathematics**

Volume: 80;
2009;
487 pp;
Hardcover

MSC: Primary 14;
Secondary 11; 18; 32; 53; 55

Print ISBN: 978-0-8218-4702-2

Product Code: PSPUM/80.1

List Price: $115.00

Individual Member Price: $92.00

**Electronic ISBN: 978-0-8218-9387-6
Product Code: PSPUM/80.1.E**

List Price: $115.00

Individual Member Price: $92.00

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# Algebraic Geometry: Seattle 2005

Share this page *Edited by *
*D. Abramovich; A. Bertram; L. Katzarkov; R. Pandharipande; M. Thaddeus*

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.

#### Table of Contents

# Table of Contents

## Algebraic Geometry: Seattle 2005

- Contents v6 free
- Preface vii8 free
- Scientific Program ix10 free
- Part 1 116 free
- Spaces of stability conditions 116
- The crepant resolution conjecture 2338
- Surfaces in background space and the homology of mapping class groups 4358
- Geometric positivity in the cohomology of homogeneous spaces and generalized Schubert calculus 7792
- The global geometry of the moduli space of curves 125140
- The Strominger-Yau-Zaslow conjecture: From torus vibrations to degenerations 149164
- Geometry of A[sub(g)] and its compactifications 193208
- The global Torelli theorem: classical, derived, twisted 235250
- On the geometry of Deligne—Mumford stacks 259274
- Moduli spaces of sheaves and principal G-bundles 273288
- Notes on axiomatic Gromov-Witten theory and applications 309324
- Gromov-Witten theory, Hurwitz numbers, and matrix models 325340
- Symplectic homology as Hochschild homology 415430
- Higher and derived stacks: a global overview 435450

#### Readership

Graduate students and research mathematicians interested in algebraic geometry.