Contemporary Mathematics 2003; 244 pp; softcover Volume: 322 ISBN10: 0821832646 ISBN13: 9780821832646 List Price: US$80 Member Price: US$64 Order Code: CONM/322
 This volume contains 13 papers from the conference on "Hilbert Schemes, Vector Bundles and Their Interplay with Representation Theory". The papers are written by leading mathematicians in algebraic geometry and representation theory and present the latest developments in the field. Among other contributions, the volume includes several very impressive and elegant theorems in representation theory by R. Friedman and J. W. Morgan, convolution on homology groups of moduli spaces of sheaves on K3 surfaces by H. Nakajima, and computation of the \(S^1\) fixed points in Quotschemes and mirror principle computations for Grassmannians by S.T. Yau, et al. The book is of interest to graduate students and researchers in algebraic geometry, representation theory, topology and their applications to high energy physics. Readership Graduate students and research mathematicians interested in algebraic geometry, representation theory, topology, and their applications to high energy physics. Table of Contents  R. Friedman and J. W. Morgan  Minuscule representations, invariant polynomials, and spectral covers
 S. Hosono, B. H. Lian, K. Oguiso, and S.T. Yau  FourierMukai partners of a K3 surface of Picard number one
 J. Li  Moduli spaces associated to a singular variety and the moduli of bundles over universal curves
 H. Nakajima  Convolution on homology groups of moduli spaces of sheaves on K3 surfaces
 W.P. Li, Z. Qin, and Q. Zhang  Curves in the Hilbert schemes of points on surfaces
 X. Wu  Limiting linear subspaces on nonreduced schemes
 B. P. Purnaprajna  Geometry of canonical covers of varieties of minimal degree with applications to CalabiYau threefolds
 W. Wang  Universal rings arising in geometry and group theory
 D. Burns, Y. Hu, and T. Luo  HyperKähler manifolds and birational transformations in dimension 4
 N. M. Kumar, C. Peterson, and A. P. Rao  Standard vector bundle deformations on \({\mathbb P}^n\)
 B. H. Lian, C.H. Liu, K. Liu, and S.T. Yau  The \(S^1\) fixed points in Quotschemes and mirror principle computations
 W. Li  The semiinfinity of Floer (co)homologies
 R. Friedman and J. W. Morgan  Automorphism sheaves, spectral covers, and the Kostant and Steinberg sections
