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Cohomology of Arithmetic Groups and Automorphic Forms

Author : Jean-Pierre Labesse
Publisher : Springer
Page : 358 pages
File Size : 28,15 MB
Release : 2006-11-14
Category : Mathematics
ISBN : 3540468765

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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. These proceedings will serve as a guide to this still rapidly developing area of mathematics. Besides two survey articles, the contributions are original research papers.

Cohomology of Arithmetic Groups

Author : James W. Cogdell
Publisher : Springer
Page : 304 pages
File Size : 33,23 MB
Release : 2018-08-18
Category : Mathematics
ISBN : 3319955497

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This book discusses the mathematical interests of Joachim Schwermer, who throughout his career has focused on the cohomology of arithmetic groups, automorphic forms and the geometry of arithmetic manifolds. To mark his 66th birthday, the editors brought together mathematical experts to offer an overview of the current state of research in these and related areas. The result is this book, with contributions ranging from topology to arithmetic. It probes the relation between cohomology of arithmetic groups and automorphic forms and their L-functions, and spans the range from classical Bianchi groups to the theory of Shimura varieties. It is a valuable reference for both experts in the fields and for graduate students and postdocs wanting to discover where the current frontiers lie.

Algebraic Topology: Applications and New Directions

Author : Ulrike Tillmann
Publisher : American Mathematical Soc.
Page : 350 pages
File Size : 47,96 MB
Release : 2014-07-14
Category : Mathematics
ISBN : 0821894749

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This volume contains the proceedings of the Stanford Symposium on Algebraic Topology: Applications and New Directions, held from July 23-27, 2012, at Stanford University, Stanford, California. The symposium was held in honor of Gunnar Carlsson, Ralph Cohen and Ib Madsen, who celebrated their 60th and 70th birthdays that year. It showcased current research in Algebraic Topology reflecting the celebrants' broad interests and profound influence on the subject. The topics varied broadly from stable equivariant homotopy theory to persistent homology and application in data analysis, covering topological aspects of quantum physics such as string topology and geometric quantization, examining homology stability in algebraic and geometric contexts, including algebraic -theory and the theory of operads.

Eisenstein Cohomology for GLN and the Special Values of Rankin–Selberg L-Functions

Author : Günter Harder
Publisher : Princeton University Press
Page : 234 pages
File Size : 47,75 MB
Release : 2019-12-03
Category : Mathematics
ISBN : 0691197881

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Introduction -- The cohomology of GLn -- Analytic tools -- Boundary cohomology -- The strongly inner spectrum and applications -- Eisenstein cohomology -- L-functions -- Harish-Chandra modules over Z / by Günter Harder -- Archimedean intertwining operator / by Uwe Weselmann.

Cohomology of Number Fields

Author : Jürgen Neukirch
Publisher : Springer Science & Business Media
Page : 831 pages
File Size : 42,90 MB
Release : 2013-09-26
Category : Mathematics
ISBN : 3540378898

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This second edition is a corrected and extended version of the first. It is a textbook for students, as well as a reference book for the working mathematician, on cohomological topics in number theory. In all it is a virtually complete treatment of a vast array of central topics in algebraic number theory. New material is introduced here on duality theorems for unramified and tamely ramified extensions as well as a careful analysis of 2-extensions of real number fields.

Cohomology of Groups

Author : Kenneth S. Brown
Publisher : Springer Science & Business Media
Page : 318 pages
File Size : 22,19 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1468493272

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Aimed at second year graduate students, this text introduces them to cohomology theory (involving a rich interplay between algebra and topology) with a minimum of prerequisites. No homological algebra is assumed beyond what is normally learned in a first course in algebraic topology, and the basics of the subject, as well as exercises, are given prior to discussion of more specialized topics.

Cohomology of Finite Groups

Author : Alejandro Adem
Publisher : Springer Science & Business Media
Page : 333 pages
File Size : 33,33 MB
Release : 2013-06-29
Category : Mathematics
ISBN : 3662062828

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The cohomology of groups has, since its beginnings in the 1920s and 1930s, been the stage for significant interaction between algebra and topology and has led to the creation of important new fields in mathematics, like homological algebra and algebraic K-theory. This is the first book to deal comprehensively with the cohomology of finite groups: it introduces the most important and useful algebraic and topological techniques, and describes the interplay of the subject with those of homotopy theory, representation theory and group actions. The combination of theory and examples, together with the techniques for computing the cohomology of important classes of groups including symmetric groups, alternating groups, finite groups of Lie type, and some of the sporadic simple groups, enable readers to acquire an in-depth understanding of group cohomology and its extensive applications.