Clay Mathematics Proceedings 2004; 376 pp; softcover Volume: 3 ISBN10: 082183715X ISBN13: 9780821837153 List Price: US$80 Member Price: US$64 Order Code: CMIP/3
 This volume is the proceedings of the 2002 Clay Mathematics Institute School on Geometry and String Theory. This monthlong program was held at the Isaac Newton Institute for Mathematical Sciences in Cambridge, England, and was organized by both mathematicians and physicists: A. Corti, R. Dijkgraaf, M. Douglas, J. Gauntlett, M. Gross, C. Hull, A. Jaffe and M. Reid. The early part of the school had many lectures that introduced various concepts of algebraic geometry and string theory with a focus on improving communication between these two fields. During the latter part of the program there were also a number of research level talks. This volume contains a selection of expository and research articles by lecturers at the school and highlights some of the current interests of researchers working at the interface between string theory and algebraic geometry. The topics covered include manifolds of special holonomy, supergravity, supersymmetry, Dbranes, the McKay correspondence and the FourierMukai transform. The book is suitable for graduate students and research mathematicians interested in relations between mathematical physics and algebraic geometry. Titles in this series are copublished with the Clay Mathematics Institute (Cambridge, MA). Readership Graduate students and research mathematicians interested in relations between mathematical physics and algebraic geometry. Table of Contents  M. R. Douglas  The geometry of string theory
 B. S. Acharya  \(M\) theory, \(G_2\)manifolds and four dimensional physics
 S. K. Donaldson  Conjectures in Kähler geometry
 J. P. Gauntlett  Branes, calibrations and supergravity
 S. Gukov  Mtheory on manifolds with exceptional holonomy
 N. Hitchin  Special holonomy and beyond
 D. Joyce  Constructing compact manifolds with exceptional holonomy
 A. Kovalev  From Fano threefolds to compact \(G_2\)manifolds
 A. Craw  An introduction to motivic integration
 A. Ishii  Representation moduli of the McKay quiver for finite Abelian subgroups of \(SL(3,\mathbb{C})\)
 F. Kirwan  Moduli spaces of bundles over Riemann surfaces and the YangMills stratification revisited
 C. Madonna and V. V. Nikulin  On a classical correspondence between K3 surfaces II
 B. Szendrői  Contractions and monodromy in homological mirror symmetry
 N. Dorey  Lectures on supersymmetric gauge theory
 A. Kapustin  The geometry of Abranes
 R. C. Myers  Low energy Dbrane actions
 List of Participants
