Cohomology Rings of Finite Groups, Jon F. Carlson; L. Townsley; Lu?s Valero-Elizondo;

Автор: Jean-Pierre Labesse; Joachim Schwermer
Название: Cohomology of Arithmetic Groups and Automorphic Forms
ISBN: 3540534229 ISBN-13(EAN): 9783540534228
Издательство: Springer
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Описание: Cohomology of arithmetic groups serves as a tool in studying possible relations between the theory of automorphic forms and the arithmetic of algebraic varieties resp. the geometry of locally symmetric spaces.

Автор: Kenneth S. Brown
Название: Cohomology of Groups: 87
ISBN: 0387906886 ISBN-13(EAN): 9780387906881
Издательство: Springer
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Описание: Suitable for second year graduate students, this text introduces cohomology theory (involving interplay between algebra and topology) with a minimum of prerequisites. It features basics of the subject, as well as exercises that are given prior to discussion of more specialized topics.

Автор: Alejandro Adem; R. James Milgram
Название: Cohomology of Finite Groups
ISBN: 3642057853 ISBN-13(EAN): 9783642057854
Издательство: Springer
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Описание: Some Historical Background This book deals with the cohomology of groups, particularly finite ones. In number theory, group cohomology arose as a natural device for describing the main theorems of class field theory and, in particular, for describing and analyzing the Brauer group of a field.

Автор: W.Y. Hsiang
Название: Cohomology Theory of Topological Transformation Groups
ISBN: 3642660541 ISBN-13(EAN): 9783642660542
Издательство: Springer
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Автор: Skip Garibaldi; R. Sujatha; Venapally Suresh
Название: Quadratic Forms, Linear Algebraic Groups, and Cohomology
ISBN: 1461426308 ISBN-13(EAN): 9781461426301
Издательство: Springer
Цена: 23058.00 р.
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Описание: We dedicate this volume to Professor Parimala on the occasion of her 60th birthday. It contains a variety of papers related to the themes of her research. Parimala's rst striking result was a counterexample to a quadratic analogue of Serre's conjecture (Bulletin of the American Mathematical Society, 1976). Her in uence has cont- ued through her tenure at the Tata Institute of Fundamental Research in Mumbai (1976-2006), and now her time at Emory University in Atlanta (2005-present). A conference was held from 30 December 2008 to 4 January 2009, at the U- versity of Hyderabad, India, to celebrate Parimala's 60th birthday (see the conf- ence's Web site at http: //mathstat.uohyd.ernet.in/conf/quadforms2008). The or- nizing committee consisted of J.-L. Colliot-Thel en e, Skip Garibaldi, R. Sujatha, and V. Suresh. The present volume is an outcome of this event. We would like to thank all the participants of the conference, the authors who have contributed to this volume, and the referees who carefully examined the s- mitted papers. We would also like to thank Springer-Verlag for readily accepting to publish the volume. In addition, the other three editors of the volume would like to place on record their deep appreciation of Skip Garibaldi's untiring efforts toward the nal publication.

Автор: Charles B. Thomas
Название: Elliptic Cohomology
ISBN: 1475787588 ISBN-13(EAN): 9781475787580
Издательство: Springer
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Описание: Elliptic cohomology is an extremely beautiful theory with both geometric and arithmetic aspects. The former is explained by the fact that the theory is a quotient of oriented cobordism localised away from 2, the latter by the fact that the coefficients coincide with a ring of modular forms. The aim of the book is to construct this cohomology theory, and evaluate it on classifying spaces BG of finite groups G. This class of spaces is important, since (using ideas borrowed from Monstrous Moonshine') it is possible to give a bundle-theoretic definition of EU-(BG). Concluding chapters also discuss variants, generalisations and potential applications.

Автор: S.Lang
Название: Topics in Cohomology of Groups
ISBN: 3540611819 ISBN-13(EAN): 9783540611813
Издательство: Springer
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Описание: The book is a mostly translated reprint of a report on cohomology of groups from the 1950s and 1960s, originally written as background for the Artin-Tate notes on class field theory, following the cohomological approach. This report was first published (in French) by Benjamin. For this new English edition, the author added Tate's local duality, written up from letters which John Tate sent to Lang in 1958 - 1959. Except for this last item, which requires more substantial background in algebraic geometry and especially abelian varieties, the rest of the book is basically elementary, depending only on standard homological algebra at the level of first year graduate students.

Автор: Karl H. Hofmann; Eric C. Nummela; Paul S. Mostert
Название: Cohomology Theories for Compact Abelian Groups
ISBN: 3642806724 ISBN-13(EAN): 9783642806728
Издательство: Springer
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Описание: Of all topological algebraic structures compact topological groups have perhaps the richest theory since 80 many different fields contribute to their study: Analysis enters through the representation theory and harmonic analysis; differential geo- metry, the theory of real analytic functions and the theory of differential equations come into the play via Lie group theory; point set topology is used in describing the local geometric structure of compact groups via limit spaces; global topology and the theory of manifolds again playa role through Lie group theory; and, of course, algebra enters through the cohomology and homology theory. A particularly well understood subclass of compact groups is the class of com- pact abelian groups. An added element of elegance is the duality theory, which states that the category of compact abelian groups is completely equivalent to the category of (discrete) abelian groups with all arrows reversed. This allows for a virtually complete algebraisation of any question concerning compact abelian groups. The subclass of compact abelian groups is not so special within the category of compact. groups as it may seem at first glance. As is very well known, the local geometric structure of a compact group may be extremely complicated, but all local complication happens to be "abelian." Indeed, via the duality theory, the complication in compact connected groups is faithfully reflected in the theory of torsion free discrete abelian groups whose notorious complexity has resisted all efforts of complete classification in ranks greater than two.