Vector bundles and representation theory : Conference on Hilbert Schemes, Vector Bundles, and Their Interplay with Representation Theory, April 5-7, 2002, University of Missouri, Columbia
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Bibliographic Information
Vector bundles and representation theory : Conference on Hilbert Schemes, Vector Bundles, and Their Interplay with Representation Theory, April 5-7, 2002, University of Missouri, Columbia
（Contemporary mathematics, 322）
American Mathematical Society, c2003
Available at / 48 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC21:514.224/C9272070583996
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Includes bibliographical references
Description and Table of Contents
Description
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 Quot-schemes 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.
Table of Contents
Minuscule representations, invariant polynomials, and spectral covers by R. Friedman and J. W. Morgan Fourier-Mukai partners of a K3 surface of Picard number one by S. Hosono, B. H. Lian, K. Oguiso, and S.-T. Yau Moduli spaces associated to a singular variety and the moduli of bundles over universal curves by J. Li Convolution on homology groups of moduli spaces of sheaves on K3 surfaces by H. Nakajima Curves in the Hilbert schemes of points on surfaces by W.-P. Li, Z. Qin, and Q. Zhang Limiting linear subspaces on non-reduced schemes by X. Wu Geometry of canonical covers of varieties of minimal degree with applications to Calabi-Yau threefolds by B. P. Pumaprajna Universal rings arising in geometry and group theory by W. Wang HyperKahler manifolds and birational transformations in dimension 4 by D. Burns, Y. Hu, and T. Luo Standard vector bundle deformations on ${\mathbb P}^n$ by N. M. Kumar, C. Peterson, and A. P. Rao The $S^1$ fixed points in Quot-schemes and mirror principle computations by B. H. Lian, C.-H. Liu, K. Liu, and S.-T. Yau The semi-infinity of Floer (co)homologies by W. Li Automorphism sheaves, spectral covers, and the Kostant and Steinberg sections by R. Friedman and J. W. Morgan.
by "Nielsen BookData"