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Vector Bundles and Representation Theory

Edited by: S. Dale Cutkosky University of Missouri, Columbia, MO
Dan Edidin University of Missouri, Columbia, MO
Zhenbo Qin University of Missouri, Columbia, MO
Qi Zhang University of Missouri, Columbia, MO
Available Formats:
Softcover ISBN: 978-0-8218-3264-6
Product Code: CONM/322
244 pp
List Price: $85.00 MAA Member Price:$76.50
AMS Member Price: $68.00 Electronic ISBN: 978-0-8218-7912-2 Product Code: CONM/322.E 244 pp List Price:$80.00
MAA Member Price: $72.00 AMS Member Price:$64.00
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List Price: $127.50 MAA Member Price:$114.75
AMS Member Price: $102.00 Click above image for expanded view Vector Bundles and Representation Theory Edited by: S. Dale Cutkosky University of Missouri, Columbia, MO Dan Edidin University of Missouri, Columbia, MO Zhenbo Qin University of Missouri, Columbia, MO Qi Zhang University of Missouri, Columbia, MO Available Formats:  Softcover ISBN: 978-0-8218-3264-6 Product Code: CONM/322 244 pp  List Price:$85.00 MAA Member Price: $76.50 AMS Member Price:$68.00
 Electronic ISBN: 978-0-8218-7912-2 Product Code: CONM/322.E 244 pp
 List Price: $80.00 MAA Member Price:$72.00 AMS Member Price: $64.00 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version. List Price:$127.50
MAA Member Price: $114.75 AMS Member Price:$102.00
• Book Details

Contemporary Mathematics
Volume: 3222003
MSC: Primary 14; 17; 20; 32; 57;

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.

Graduate students and research mathematicians interested in algebraic geometry, representation theory, topology, and their applications to high energy physics.

• Articles
• Robert Friedman and John W. Morgan - Minuscule representations, invariant polynomials, and spectral covers [ MR 1987737 ]
• Shinobu Hosono, Bong H. Lian, Keiji Oguiso and Shing-Tung Yau - Fourier-Mukai partners of a $K3$ surface of Picard number one [ MR 1987738 ]
• Jun Li - Moduli spaces associated to a singular variety and the moduli of bundles over universal curves [ MR 1987739 ]
• Hiraku Nakajima - Convolution on homology groups of moduli spaces of sheaves on $K3$ surfaces [ MR 1987740 ]
• Wei-Ping Li, Zhenbo Qin and Qi Zhang - Curves in the Hilbert schemes of points on surfaces [ MR 1987741 ]
• Xian Wu - Limiting linear subspaces on non-reduced schemes [ MR 1987742 ]
• Bangere P. Purnaprajna - Geometry of canonical covers of varieties of minimal degree with applications to Calabi-Yau threefolds [ MR 1987743 ]
• Weiqiang Wang - Universal rings arising in geometry and group theory [ MR 1987744 ]
• Dan Burns, Yi Hu and Tie Luo - HyperKähler manifolds and birational transformations in dimension 4 [ MR 1987745 ]
• N. Mohan Kumar, Chris Peterson and A. Prabhakar Rao - Standard vector bundle deformations on $\Bbb P^n$ [ MR 1987746 ]
• Bong H. Lian, Chien-Hao Liu, Kefeng Liu and Shing-Tung Yau - The $S^1$ fixed points in Quot-schemes and mirror principle computations [ MR 1987747 ]
• Weiping Li - The semi-infinity of Floer (co)homologies [ MR 1987748 ]
• Robert Friedman and John W. Morgan - Automorphism sheaves, spectral covers, and the Kostant and Steinberg sections [ MR 1987749 ]
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Volume: 3222003
MSC: Primary 14; 17; 20; 32; 57;

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.

Graduate students and research mathematicians interested in algebraic geometry, representation theory, topology, and their applications to high energy physics.

• Articles
• Robert Friedman and John W. Morgan - Minuscule representations, invariant polynomials, and spectral covers [ MR 1987737 ]
• Shinobu Hosono, Bong H. Lian, Keiji Oguiso and Shing-Tung Yau - Fourier-Mukai partners of a $K3$ surface of Picard number one [ MR 1987738 ]
• Jun Li - Moduli spaces associated to a singular variety and the moduli of bundles over universal curves [ MR 1987739 ]
• Hiraku Nakajima - Convolution on homology groups of moduli spaces of sheaves on $K3$ surfaces [ MR 1987740 ]
• Wei-Ping Li, Zhenbo Qin and Qi Zhang - Curves in the Hilbert schemes of points on surfaces [ MR 1987741 ]
• Xian Wu - Limiting linear subspaces on non-reduced schemes [ MR 1987742 ]
• Bangere P. Purnaprajna - Geometry of canonical covers of varieties of minimal degree with applications to Calabi-Yau threefolds [ MR 1987743 ]
• Weiqiang Wang - Universal rings arising in geometry and group theory [ MR 1987744 ]
• Dan Burns, Yi Hu and Tie Luo - HyperKähler manifolds and birational transformations in dimension 4 [ MR 1987745 ]
• N. Mohan Kumar, Chris Peterson and A. Prabhakar Rao - Standard vector bundle deformations on $\Bbb P^n$ [ MR 1987746 ]
• Bong H. Lian, Chien-Hao Liu, Kefeng Liu and Shing-Tung Yau - The $S^1$ fixed points in Quot-schemes and mirror principle computations [ MR 1987747 ]
• Weiping Li - The semi-infinity of Floer (co)homologies [ MR 1987748 ]
• Robert Friedman and John W. Morgan - Automorphism sheaves, spectral covers, and the Kostant and Steinberg sections [ MR 1987749 ]
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