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Moduli Spaces and Vector Bundles—New Trends

2024-07-18 Mathematics
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Release : 2024-07-18
Genre : Mathematics
Kind : eBook
Book Rating : 961/5 ( reviews)

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Book Synopsis Moduli Spaces and Vector Bundles—New Trends by : Peter Gothen

Download or read book Moduli Spaces and Vector Bundles—New Trends written by Peter Gothen. This book was released on 2024-07-18. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the VBAC 2022 Conference on Moduli Spaces and Vector Bundles—New Trends, held in honor of Peter Newstead's 80th birthday, from July 25–29, 2022, at the University of Warwick, Coventry, United Kingdom. The papers focus on the theory of stability conditions in derived categories, non-reductive geometric invariant theory, Brill-Noether theory, and Higgs bundles and character varieties. The volume includes both survey and original research articles. Most articles contain substantial background and will be helpful to both novices and experts.

Grassmannians, Moduli Spaces and Vector Bundles

2011 Mathematics
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Release : 2011
Genre : Mathematics
Kind : eBook
Book Rating : 051/5 ( reviews)

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Book Synopsis Grassmannians, Moduli Spaces and Vector Bundles by : David Ellwood

Download or read book Grassmannians, Moduli Spaces and Vector Bundles written by David Ellwood. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt: This collection of cutting-edge articles on vector bundles and related topics originated from a CMI workshop, held in October 2006, that brought together a community indebted to the pioneering work of P. E. Newstead, visiting the United States for the first time since the 1960s. Moduli spaces of vector bundles were then in their infancy, but are now, as demonstrated by this volume, a powerful tool in symplectic geometry, number theory, mathematical physics, and algebraic geometry. In fact, the impetus for this volume was to offer a sample of the vital convergence of techniques and fundamental progress, taking place in moduli spaces at the outset of the twenty-first century. This volume contains contributions by J. E. Andersen and N. L. Gammelgaard (Hitchin's projectively flat connection and Toeplitz operators), M. Aprodu and G. Farkas (moduli spaces), D. Arcara and A. Bertram (stability in higher dimension), L. Jeffrey (intersection cohomology), J. Kamnitzer (Langlands program), M. Lieblich (arithmetic aspects), P. E. Newstead (coherent systems), G. Pareschi and M. Popa (linear series on Abelian varieties), and M. Teixidor i Bigas (bundles over reducible curves). These articles do require a working knowledge of algebraic geometry, symplectic geometry and functional analysis, but should appeal to practitioners in a diversity of fields. No specialization should be necessary to appreciate the contributions, or possibly to be stimulated to work in the various directions opened by these path-blazing ideas; to mention a few, the Langlands program, stability criteria for vector bundles over surfaces and threefolds, linear series over abelian varieties and Brauer groups in relation to arithmetic properties of moduli spaces.

Moduli Spaces and Vector Bundles

2009-05-21 Mathematics
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Release : 2009-05-21
Genre : Mathematics
Kind : eBook
Book Rating : 049/5 ( reviews)

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Book Synopsis Moduli Spaces and Vector Bundles by : Leticia Brambila-Paz

Download or read book Moduli Spaces and Vector Bundles written by Leticia Brambila-Paz. This book was released on 2009-05-21. Available in PDF, EPUB and Kindle. Book excerpt: Vector bundles and their associated moduli spaces are of fundamental importance in algebraic geometry. In recent decades this subject has been greatly enhanced by its relationships with other areas of mathematics, including differential geometry, topology and even theoretical physics, specifically gauge theory, quantum field theory and string theory. Peter E. Newstead has been a leading figure in this field almost from its inception and has made many seminal contributions to our understanding of moduli spaces of stable bundles. This volume has been assembled in tribute to Professor Newstead and his contribution to algebraic geometry. Some of the subject's leading experts cover foundational material, while the survey and research papers focus on topics at the forefront of the field. This volume is suitable for both graduate students and more experienced researchers.

Moduli of Vector Bundles

2023 MATHEMATICS
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Release : 2023
Genre : MATHEMATICS
Kind : eBook
Book Rating : 983/5 ( reviews)

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Book Synopsis Moduli of Vector Bundles by :

Download or read book Moduli of Vector Bundles written by . This book was released on 2023. Available in PDF, EPUB and Kindle. Book excerpt: Contains papers presented at the 35th Taniguchi International Symposium held recently in Sanda and Kyoto, Japan. Details the latest developments concerning moduli spaces of vector bundles or instantons and their application. Covers a broad array of topics in both differential and algebraic geometry.

Compact Moduli Spaces and Vector Bundles

2012 Mathematics
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Release : 2012
Genre : Mathematics
Kind : eBook
Book Rating : 993/5 ( reviews)

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Book Synopsis Compact Moduli Spaces and Vector Bundles by : Valery Alexeev

Download or read book Compact Moduli Spaces and Vector Bundles written by Valery Alexeev. This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of the conference on Compact Moduli and Vector Bundles, held from October 21-24, 2010, at the University of Georgia. This book is a mix of survey papers and original research articles on two related subjects: Compact Moduli spaces of algebraic varieties, including of higher-dimensional stable varieties and pairs, and Vector Bundles on such compact moduli spaces, including the conformal block bundles. These bundles originated in the 1970s in physics; the celebrated Verlinde formula computes their ranks. Among the surveys are those that examine compact moduli spaces of surfaces of general type and others that concern the GIT constructions of log canonical models of moduli of stable curves. The original research articles include, among others, papers on a formula for the Chern classes of conformal classes of conformal block bundles on the moduli spaces of stable curves, on Looijenga's conjectures, on algebraic and tropical Brill-Noether theory, on Green's conjecture, on rigid curves on moduli of curves, and on Steiner surfaces.

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