Softcover ISBN:  9780821832646 
Product Code:  CONM/322 
List Price:  $85.00 
MAA Member Price:  $76.50 
AMS Member Price:  $68.00 
Electronic ISBN:  9780821879122 
Product Code:  CONM/322.E 
List Price:  $80.00 
MAA Member Price:  $72.00 
AMS Member Price:  $64.00 

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 ]


RequestsReview Copy – for reviewers who would like to review an AMS bookPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
 Book Details
 Table of Contents
 Requests
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 ]