Vector Bundles And Representation Theory PDF Download
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| Author | : Steven Dale Cutkosky |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 258 |
| Release | : 2003 |
| Genre | : Mathematics |
| ISBN | : 0821832646 |
Download Vector Bundles and Representation Theory Book in PDF, ePub and Kindle
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.
| Author | : Dale Husemöller |
| Publisher | : Springer |
| Total Pages | : 344 |
| Release | : 2007-12-10 |
| Genre | : Mathematics |
| ISBN | : 354074956X |
Download Basic Bundle Theory and K-Cohomology Invariants Book in PDF, ePub and Kindle
Based on several recent courses given to mathematical physics students, this volume is an introduction to bundle theory. It aims to provide newcomers to the field with solid foundations in topological K-theory. A fundamental theme, emphasized in the book, centers around the gluing of local bundle data related to bundles into a global object. One renewed motivation for studying this subject, comes from quantum field theory, where topological invariants play an important role.
| Author | : Gert-Martin Greuel |
| Publisher | : Springer |
| Total Pages | : 396 |
| Release | : 2006-11-15 |
| Genre | : Mathematics |
| ISBN | : 3540478515 |
Download Singularities, Representation of Algebras, and Vector Bundles Book in PDF, ePub and Kindle
It is well known that there are close relations between classes of singularities and representation theory via the McKay correspondence and between representation theory and vector bundles on projective spaces via the Bernstein-Gelfand-Gelfand construction. These relations however cannot be considered to be either completely understood or fully exploited. These proceedings document recent developments in the area. The questions and methods of representation theory have applications to singularities and to vector bundles. Representation theory itself, which had primarily developed its methods for Artinian algebras, starts to investigate algebras of higher dimension partly because of these applications. Future research in representation theory may be spurred by the classification of singularities and the highly developed theory of moduli for vector bundles. The volume contains 3 survey articles on the 3 main topics mentioned, stressing their interrelationships, as well as original research papers.
| Author | : David J. Benson |
| Publisher | : |
| Total Pages | : |
| Release | : 2017 |
| Genre | : MATHEMATICS |
| ISBN | : 9781316809303 |
Download Representations of Elementary Abelian P-groups and Vector Bundles Book in PDF, ePub and Kindle
| Author | : Conner Perry Jager |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2015 |
| Genre | : |
| ISBN | : |
Download Representation Theory and Vector Bundles Book in PDF, ePub and Kindle
| Author | : Gert-Martin Greuel |
| Publisher | : |
| Total Pages | : 400 |
| Release | : 2014-01-15 |
| Genre | : |
| ISBN | : 9783662168639 |
Download Singularities, Representation of Algebras, and Vector Bundles Book in PDF, ePub and Kindle
| Author | : Glenys Luke |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 259 |
| Release | : 2013-03-09 |
| Genre | : Mathematics |
| ISBN | : 1475769237 |
Download Vector Bundles and Their Applications Book in PDF, ePub and Kindle
The book is devoted to the basic notions of vector bundles and their applications. The focus of attention is towards explaining the most important notions and geometric constructions connected with the theory of vector bundles. Theorems are not always formulated in maximal generality but rather in such a way that the geometric nature of the objects comes to the fore. Whenever possible examples are given to illustrate the role of vector bundles. Audience: With numerous illustrations and applications to various problems in mathematics and the sciences, the book will be of interest to a range of graduate students from pure and applied mathematics.
| Author | : Jerzy Weyman |
| Publisher | : Cambridge University Press |
| Total Pages | : 404 |
| Release | : 2003-06-09 |
| Genre | : Mathematics |
| ISBN | : 9780521621977 |
Download Cohomology of Vector Bundles and Syzygies Book in PDF, ePub and Kindle
The central theme of this book is an exposition of the geometric technique of calculating syzygies. It is written from a point of view of commutative algebra, and without assuming any knowledge of representation theory the calculation of syzygies of determinantal varieties is explained. The starting point is a definition of Schur functors, and these are discussed from both an algebraic and geometric point of view. Then a chapter on various versions of Bott's Theorem leads on to a careful explanation of the technique itself, based on a description of the direct image of a Koszul complex. Applications to determinantal varieties follow, plus there are also chapters on applications of the technique to rank varieties for symmetric and skew symmetric tensors of arbitrary degree, closures of conjugacy classes of nilpotent matrices, discriminants and resultants. Numerous exercises are included to give the reader insight into how to apply this important method.
| Author | : Hagen Meltzer |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 154 |
| Release | : 2004 |
| Genre | : Mathematics |
| ISBN | : 082183519X |
Download Exceptional Vector Bundles, Tilting Sheaves and Tilting Complexes for Weighted Projective Lines Book in PDF, ePub and Kindle
Deals with weighted projective lines, a class of non-commutative curves modelled by Geigle and Lenzing on a graded commutative sheaf theory. They play an important role in representation theory of finite-dimensional algebras; the complexity of the classification of coherent sheaves largely depends on the genus of these curves.
| Author | : Steve Bradlow |
| Publisher | : Cambridge University Press |
| Total Pages | : 516 |
| Release | : 2009-05-21 |
| Genre | : Mathematics |
| ISBN | : 0521734711 |
Download Moduli Spaces and Vector Bundles Book in PDF, ePub and Kindle
Coverage includes foundational material as well as current research, authored by top specialists within their fields.
