Period Functions for Maass Wave Forms and Cohomology, R. Bruggeman, J. Lewis, D. Zagier
Автор: Jean-Pierre Labesse; Joachim Schwermer Название: Cohomology of Arithmetic Groups and Automorphic Forms ISBN: 3540534229 ISBN-13(EAN): 9783540534228 Издательство: Springer Рейтинг: Цена: 37220.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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: J?rgen Neukirch; Alexander Schmidt; Kay Wingberg Название: Cohomology of Number Fields ISBN: 3662517450 ISBN-13(EAN): 9783662517451 Издательство: Springer Рейтинг: Цена: 121070.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: It is a textbook for students, as well as a reference book for the working mathematician, on cohomological topics in 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.
Автор: Pierre Guillot Название: A Gentle Course in Local Class Field Theory: Local Number Fields, Brauer Groups, Galois Cohomology ISBN: 1108421776 ISBN-13(EAN): 9781108421775 Издательство: Cambridge Academ Рейтинг: Цена: 79200.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book offers a self-contained exposition of local class field theory, serving as a second course on Galois theory. Written for beginning graduate students and advanced undergraduates, the material will find use across disciplines including number theory, representation theory, algebraic geometry, and algebraic topology.
Автор: Cogdell Название: Cohomology of Arithmetic Groups ISBN: 3319955489 ISBN-13(EAN): 9783319955483 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: 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.
Автор: P. Ion; Jean-Pierre Serre Название: Galois Cohomology ISBN: 364263866X ISBN-13(EAN): 9783642638664 Издательство: Springer Рейтинг: Цена: 65210.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This is an updated English translation of Cohomologie Galoisienne, published more than thirty years ago as one of the very first versions of Lecture Notes in Mathematics. It includes a reproduction of an influential paper by R. Steinberg, together with some new material and an expanded bibliography.
Автор: Kathrin Bringmann, Amanda Folsom, Ken Ono, Larry Rolen Название: Harmonic Maass Forms and Mock Modular Forms: Theory and Applications ISBN: 1470419440 ISBN-13(EAN): 9781470419448 Издательство: Mare Nostrum (Eurospan) Цена: 82770.00 T Наличие на складе: Невозможна поставка. Описание: Modular forms and Jacobi forms play a central role in many areas of mathematics. Over the last 10-15 years, this theory has been extended to certain non-holomorphic functions, the so-called "harmonic Maass forms''. The first glimpses of this theory appeared in Ramanujan's enigmatic last letter to G. H. Hardy written from his deathbed. Ramanujan discovered functions he called ``mock theta functions'' which over eighty years later were recognized as pieces of harmonic Maass forms. This book contains the essential features of the theory of harmonic Maass forms and mock modular forms, together with a wide variety of applications to algebraic number theory, combinatorics, elliptic curves, mathematical physics, quantum modular forms, and representation theory.
Автор: Roelof Bruggeman, Youngju Choie, Nikolaos Diamantis Название: Holomorphic Automorphic Forms and Cohomology ISBN: 1470428555 ISBN-13(EAN): 9781470428556 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 77610.00 T Наличие на складе: Невозможна поставка. Описание: Investigates the correspondence between holomorphic automorphic forms on the upper half-plane with complex weight and parabolic cocycles. For integral weights at least $2$ this correspondence is given by the Eichler integral. The authors use Knopp`s generalization of this integral to real weights, and apply it to complex weights that are not an integer at least $2$.
Автор: S.Lang Название: Topics in Cohomology of Groups ISBN: 3540611819 ISBN-13(EAN): 9783540611813 Издательство: Springer Рейтинг: Цена: 41880.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
This book studies the interplay between the geometry and topology of locally symmetric spaces, and the arithmetic aspects of the special values of L-functions.
The authors study the cohomology of locally symmetric spaces for GL(N) where the cohomology groups are with coefficients in a local system attached to a finite-dimensional algebraic representation of GL(N). The image of the global cohomology in the cohomology of the Borel-Serre boundary is called Eisenstein cohomology, since at a transcendental level the cohomology classes may be described in terms of Eisenstein series and induced representations. However, because the groups are sheaf-theoretically defined, one can control their rationality and even integrality properties. A celebrated theorem by Langlands describes the constant term of an Eisenstein series in terms of automorphic L-functions. A cohomological interpretation of this theorem in terms of maps in Eisenstein cohomology allows the authors to study the rationality properties of the special values of Rankin-Selberg L-functions for GL(n) x GL(m), where n + m = N. The authors carry through the entire program with an eye toward generalizations.
This book should be of interest to advanced graduate students and researchers interested in number theory, automorphic forms, representation theory, and the cohomology of arithmetic groups.
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