Algebraic geometry; 2v.

9780821840573

Algebraic geometry; 2v.

Summer Research Institute on Algebraic Geometry (2005: Seattle, Wash.) Ed. by D. Abramovich et al.

American Mathematical Society

2009

1003 pages

$174.00

Hardcover

Proceedings of symposia in pure mathematics; v.80

QA564

The Institute was three weeks long, and with 513 mathematicians attending might have been the largest algebraic geometry conference in history. The first week was devoted to moduli problems and the interactions between algebraic geometry, symplectic geometry, and string theory. The topic of the second week was classical algebraic geometry with a focus on birational geometry. Arithmetic geometry and characteristic p methods took up the final week. The 28 papers in these proceedings include the plenary lectures, the Clay lectures, and several surveys related to seminar talks. Among the topics are the crepant resolution conjecture, the global geometry of the moduli space of curves, axiomatic Gromov-Witten theory and applications, a global overview of higher and derived stacks, jet schemes and similarities, the geometry and topology of symplectic varieties, a young person's guide to moduli of higher dimensional varieties, and weak approximation for hypersurfaces of low degree. The two volumes are paged together, and not indexed at all.

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