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IAS/Park City Mathematics Series
2006; 285 pp; hardcover
List Price: US$58
Member Price: US$46.40
Order Code: PCMS/11
Analytic and Algebraic Geometry: Common Problems, Different Methods - Jeffery McNeal and Mircea Mustata
Each summer the IAS/Park City Mathematics Institute Graduate Summer School gathers some of the best researchers and educators in a particular field to present diverse sets of lectures. This volume presents three weeks of lectures given at the Summer School on Quantum Field Theory, Supersymmetry, and Enumerative Geometry, three very active research areas in mathematics and theoretical physics.
With this volume, the Park City Mathematics Institute returns to the general topic of the first institute: the interplay between quantum field theory and mathematics. Two major themes at this institute were supersymmetry and algebraic geometry, particularly enumerative geometry. The volume contains two lecture series on methods of enumerative geometry that have their roots in QFT. The first series covers the Schubert calculus and quantum cohomology. The second discusses methods from algebraic geometry for computing Gromov-Witten invariants. There are also three sets of lectures of a more introductory nature: an overview of classical field theory and supersymmetry, an introduction to supermanifolds, and an introduction to general relativity.
This volume is recommended for independent study and is suitable for graduate students and researchers interested in geometry and physics.
Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.
Graduate students and research mathematicians interested in enumerative geometry and mathematical physics.
"The book collects together some useful material for anybody hoping to better understand recent important ideas coming to mathematics from theoretical physics."
-- European Mathematical Society Newsletter
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