Topological Methods in Galois Representation Theory

Topological Methods in Galois Representation Theory PDF

Author: Victor P. Snaith

Publisher: Courier Corporation

Published: 2014-01-15

Total Pages: 322

ISBN-13: 048649358X

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"An advanced monograph on Galois representation theory by one of the world's leading algebraists, this volume is directed at mathematics students who have completed a graduate course in introductory algebraic topology. Topics include Abelian and nonabelian cohomology of groups, characteristic classes of forms and algebras, explicit Brauer induction theory, and much more. 1989 edition"--

Topological Methods in Group Theory

Topological Methods in Group Theory PDF

Author: Ross Geoghegan

Publisher: Springer Science & Business Media

Published: 2007-12-27

Total Pages: 473

ISBN-13: 0387746145

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This book is about the interplay between algebraic topology and the theory of infinite discrete groups. It is a hugely important contribution to the field of topological and geometric group theory, and is bound to become a standard reference in the field. To keep the length reasonable and the focus clear, the author assumes the reader knows or can easily learn the necessary algebra, but wants to see the topology done in detail. The central subject of the book is the theory of ends. Here the author adopts a new algebraic approach which is geometric in spirit.

Automorphic Forms and Galois Representations

Automorphic Forms and Galois Representations PDF

Author: Fred Diamond

Publisher: Cambridge University Press

Published: 2014-10-16

Total Pages: 385

ISBN-13: 1107691923

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Part one of a two-volume collection exploring recent developments in number theory related to automorphic forms and Galois representations.

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.

Algebraic K-theory

Algebraic K-theory PDF

Author: Victor Percy Snaith

Publisher: American Mathematical Soc.

Published: 1997-01-01

Total Pages: 380

ISBN-13: 9780821871232

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The conference proceedings volume is produced in connection with the second Great Lakes K-theory Conference that was held at The Fields Institute for Research in Mathematical Sciences in March 1996. The volume is dedicated to the late Bob Thomason, one of the leading research mathematicians specializing in algebraic K-theory. In addition to research papers treated directly in the lectures at the conference, this volume contains the following: i) several timely articles inspired by those lectures (particularly by that of V. Voevodsky), ii) an extensive exposition by Steve Mitchell of Thomason's famous result concerning the relationship between algebraic K-theory and etale cohomology, iii) a definitive exposition by J-L. Colliot-Thelene, R. Hoobler, and B. Kahn (explaining and elaborating upon unpublished work of O. Gabber) of Bloch-Ogus-Gersten type resolutions in K-theory and algebraic geometry. This volume will be important both for researchers who want access to details of recent development in K-theory and also to graduate students and researchers seeking good advanced exposition.

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