Groups St Andrews 2009 in Bath: Volume 2

Groups St Andrews 2009 in Bath: Volume 2 PDF

Author: C. M. Campbell

Publisher: Cambridge University Press

Published: 2011-06-16

Total Pages: 305

ISBN-13: 1139498282

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This second volume of a two-volume book contains selected papers from the international conference Groups St Andrews 2009. Leading researchers in their respective areas, including Eammon O'Brien, Mark Sapir and Dan Segal, survey the latest developments in algebra.

Groups St Andrews 1997 in Bath:

Groups St Andrews 1997 in Bath: PDF

Author: C. M. Campbell

Publisher: Cambridge University Press

Published: 1999-02-18

Total Pages: 372

ISBN-13: 9780521655767

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This two-volume book contains selected papers from the international conference "Groups St. Andrews 1997 in Bath". The articles are arranged in roughly alphabetical order and cover a wide spectrum of modern group theory. There are articles based on lecture courses given by five main speakers together with refereed survey and research articles contributed by other conference participants. Proceedings of earlier "Groups St. Andrews" conferences have had a major impact on the development of group theory and these volumes should be equally important.

Groups St Andrews 2017 in Birmingham

Groups St Andrews 2017 in Birmingham PDF

Author: C. M. Campbell

Publisher: Cambridge University Press

Published: 2019-04-11

Total Pages: 510

ISBN-13: 110872874X

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These proceedings of 'Groups St Andrews 2017' provide a snapshot of the state-of-the-art in contemporary group theory.

Groups St Andrews 2013

Groups St Andrews 2013 PDF

Author: C. M. Campbell

Publisher: Cambridge University Press

Published: 2015-10-22

Total Pages: 503

ISBN-13: 1316467910

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Every four years, leading researchers gather to survey the latest developments in all aspects of group theory. Since 1981, the proceedings of those meetings have provided a regular snapshot of the state of the art in group theory and helped to shape the direction of research in the field. This volume contains selected papers from the 2013 meeting held in St Andrews. It begins with major articles from each of the four main speakers: Emmanuel Breuillard (Paris-Sud), Martin Liebeck (Imperial College London), Alan Reid (Texas) and Karen Vogtmann (Cornell). These are followed by, in alphabetical order, survey articles contributed by other conference participants, which cover a wide spectrum of modern group theory.

Automorphic Forms and Galois Representations: Volume 2

Automorphic Forms and Galois Representations: Volume 2 PDF

Author: Fred Diamond

Publisher: Cambridge University Press

Published: 2014-10-16

Total Pages: 387

ISBN-13: 1316062341

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Automorphic forms and Galois representations have played a central role in the development of modern number theory, with the former coming to prominence via the celebrated Langlands program and Wiles' proof of Fermat's Last Theorem. This two-volume collection arose from the 94th LMS-EPSRC Durham Symposium on 'Automorphic Forms and Galois Representations' in July 2011, the aim of which was to explore recent developments in this area. The expository articles and research papers across the two volumes reflect recent interest in p-adic methods in number theory and representation theory, as well as recent progress on topics from anabelian geometry to p-adic Hodge theory and the Langlands program. The topics covered in volume two include curves and vector bundles in p-adic Hodge theory, associators, Shimura varieties, the birational section conjecture, and other topics of contemporary interest.

Facets of Algebraic Geometry: Volume 2

Facets of Algebraic Geometry: Volume 2 PDF

Author: Paolo Aluffi

Publisher: Cambridge University Press

Published: 2022-04-07

Total Pages: 396

ISBN-13: 1108890547

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Written to honor the 80th birthday of William Fulton, the articles collected in this volume (the second of a pair) present substantial contributions to algebraic geometry and related fields, with an emphasis on combinatorial algebraic geometry and intersection theory. Featured include commutative algebra, moduli spaces, quantum cohomology, representation theory, Schubert calculus, and toric and tropical geometry. The range of these contributions is a testament to the breadth and depth of Fulton's mathematical influence. The authors are all internationally recognized experts, and include well-established researchers as well as rising stars of a new generation of mathematicians. The text aims to stimulate progress and provide inspiration to graduate students and researchers in the field.

Polynomials and the mod 2 Steenrod Algebra: Volume 2, Representations of GL (n,F2)

Polynomials and the mod 2 Steenrod Algebra: Volume 2, Representations of GL (n,F2) PDF

Author: Grant Walker

Publisher: Cambridge University Press

Published: 2017-11-09

Total Pages: 381

ISBN-13: 1108355927

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This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's `hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from decompositions of integers as sums of 'powers of 2 minus 1', to Hopf algebras and the Steinberg representation of GL(n, F). Volume 1 develops the structure of the Steenrod algebra from an algebraic viewpoint and can be used as a graduate-level textbook. Volume 2 broadens the discussion to include modular representations of matrix groups.

Infinite Groups

Infinite Groups PDF

Author: Martyn R. Dixon

Publisher: CRC Press

Published: 2022-12-30

Total Pages: 411

ISBN-13: 1000848310

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In recent times, group theory has found wider applications in various fields of algebra and mathematics in general. But in order to apply this or that result, you need to know about it, and such results are often diffuse and difficult to locate, necessitating that readers construct an extended search through multiple monographs, articles, and papers. Such readers must wade through the morass of concepts and auxiliary statements that are needed to understand the desired results, while it is initially unclear which of them are really needed and which ones can be dispensed with. A further difficulty that one may encounter might be concerned with the form or language in which a given result is presented. For example, if someone knows the basics of group theory, but does not know the theory of representations, and a group theoretical result is formulated in the language of representation theory, then that person is faced with the problem of translating this result into the language with which they are familiar, etc. Infinite Groups: A Roadmap to Some Classical Areas seeks to overcome this challenge. The book covers a broad swath of the theory of infinite groups, without giving proofs, but with all the concepts and auxiliary results necessary for understanding such results. In other words, this book is an extended directory, or a guide, to some of the more established areas of infinite groups. Features An excellent resource for a subject formerly lacking an accessible and in-depth reference Suitable for graduate students, PhD students, and researchers working in group theory Introduces the reader to the most important methods, ideas, approaches, and constructions in infinite group theory.