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 / S. Dale Cutkosky [and three others], editors.

Format:

Book

Conference/Event

Author/Creator:

Conference on Hilbert Schemes, Vector Bundles, and Their Interplay with Representation Theory, Corporate Author.

Contributor:

Cutkosky, Steven Dale, editor.

Conference Name:

Conference on Hilbert Schemes, Vector Bundles, and Their Interplay with Representation Theory (2002 : University of Missouri--Columbia), issuing body.

Series:

Contemporary mathematics (American Mathematical Society) ; v. 322.

Contemporary mathematics, 0271-4132 ; 322

Language:

English

Subjects (All):

Vector bundles--Congresses.

Vector bundles.

Hilbert schemes--Congresses.

Hilbert schemes.

Representations of algebras--Congresses.

Representations of algebras.

Physical Description:

1 online resource (258 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2003]

Language Note:

English

Summary:

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 $S1$ fixed points in Quot-schemes and mirror principle computations for Grassmanians 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.

Contents:

""Contents""; ""Preface""; ""Minuscule representations, invariant polynomials, and spectral covers""; ""Fourier-Mukai partners of a K3 surface of Picard number one""; ""Moduli spaces associated to a singular variety and the moduli of bundles over universal curves""; ""Convolution on homology groups of moduli spaces of sheaves on K3 surfaces""; ""Curves in the Hilbert schemes of points on surfaces""; ""Limiting linear subspaces on non-reduced schemes""; ""Geometry of canonical covers of varieties of minimal degree with applications to Calabi-Yau threefolds""

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on print version record.

ISBN:

0-8218-7912-X