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Softcover ISBN:  9780821832646 
Product Code:  CONM/322 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
eBook ISBN:  9780821879122 
Product Code:  CONM/322.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9780821832646 
eBook ISBN:  9780821879122 
Product Code:  CONM/322.B 
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Book DetailsContemporary MathematicsVolume: 322; 2003; 244 ppMSC: 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 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.
ReadershipGraduate students and research mathematicians interested in algebraic geometry, representation theory, topology, and their applications to high energy physics.

Table of Contents

Articles

Robert Friedman and John W. Morgan — Minuscule representations, invariant polynomials, and spectral covers [ MR 1987737 ]

Shinobu Hosono, Bong H. Lian, Keiji Oguiso and ShingTung Yau — FourierMukai 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 ]

WeiPing Li, Zhenbo Qin and Qi Zhang — Curves in the Hilbert schemes of points on surfaces [ MR 1987741 ]

Xian Wu — Limiting linear subspaces on nonreduced schemes [ MR 1987742 ]

Bangere P. Purnaprajna — Geometry of canonical covers of varieties of minimal degree with applications to CalabiYau 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, ChienHao Liu, Kefeng Liu and ShingTung Yau — The $S^1$ fixed points in Quotschemes and mirror principle computations [ MR 1987747 ]

Weiping Li — The semiinfinity 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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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.
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 ShingTung Yau — FourierMukai 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 ]

WeiPing Li, Zhenbo Qin and Qi Zhang — Curves in the Hilbert schemes of points on surfaces [ MR 1987741 ]

Xian Wu — Limiting linear subspaces on nonreduced schemes [ MR 1987742 ]

Bangere P. Purnaprajna — Geometry of canonical covers of varieties of minimal degree with applications to CalabiYau 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, ChienHao Liu, Kefeng Liu and ShingTung Yau — The $S^1$ fixed points in Quotschemes and mirror principle computations [ MR 1987747 ]

Weiping Li — The semiinfinity of Floer (co)homologies [ MR 1987748 ]

Robert Friedman and John W. Morgan — Automorphism sheaves, spectral covers, and the Kostant and Steinberg sections [ MR 1987749 ]