Introduction to Sofic and Hyperlinear Groups and Connes` Embedding Conjecture, Valerio Capraro; Martino Lupini; Vladimir Pestov

Автор: Bushnell, Colin J. Henniart, Guy
Название: Local langlands conjecture for gl(2)
ISBN: 3642068537 ISBN-13(EAN): 9783642068539
Издательство: Springer
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Описание: The Local Langlands Conjecture for GL(2) contributes an unprecedented text to the so-called Langlands theory. It presupposes no special knowledge beyond the beginnings of the representation theory of finite groups and the structure theory of local fields.

Автор: Coates
Название: The Bloch–Kato Conjecture for the Riemann Zeta Function
ISBN: 1107492963 ISBN-13(EAN): 9781107492967
Издательство: Cambridge Academ
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Описание: An account of a significant body of recent work that resolves some long-standing mysteries concerning special values of the Riemann zeta function. It brings together many important results from K-theory, motivic cohomology, and Iwasawa theory, accessible at graduate level and above.

Автор: Michel Enock; A. Connes; A. Ocneanu; Jean-Marie Sc
Название: Kac Algebras and Duality of Locally Compact Groups
ISBN: 3540547452 ISBN-13(EAN): 9783540547457
Издательство: Springer
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Описание: Develops the category of Kac algebras that answers the original duality problem. This book is of interest to researchers working in quantum groups, particularly those interested in the approach by Lie groups and Lie algebras or by non-commutative geometry, and more generally also to those working in C* algebras or theoretical physics.

Автор: Gerhard Frey
Название: On Artin`s Conjecture for Odd 2-dimensional Representations
ISBN: 3540583874 ISBN-13(EAN): 9783540583875
Издательство: Springer
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Описание: The objective of this study is to develop efficient algorithms with which to verify Artin's conjecture for odd two-dimensional representations. It is hoped that the algorithms developed for this text can also be used to solve other problems related to modular forms.

Автор: Michel Enock; A. Connes; A. Ocneanu; Jean-Marie Sc
Название: Kac Algebras and Duality of Locally Compact Groups
ISBN: 3642081282 ISBN-13(EAN): 9783642081286
Издательство: Springer
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Описание: This book deals with the theory of Kac algebras and their dual- ity, elaborated independently by M. Enock and J . -M. Schwartz, and by G. . Kac and L. . Vajnermann in the seventies. The sub- ject has now reached a state of maturity which fully justifies the publication of this book. Also, in recent times, the topic of "quantum groups" has become very fashionable and attracted the attention of more and more mathematicians and theoret- ical physicists. One is still missing a good characterization of quantum groups among Hopf algebras, similar to the character- ization of Lie groups among locally compact groups. It is thus extremely valuable to develop the general theory, as this book does, with emphasis on the analytical aspects of the subject instead of the purely algebraic ones. The original motivation of M. Enock and J. -M. Schwartz can be formulated as follows: while in the Pontrjagin duality theory of locally compact abelian groups a perfect symmetry exists between a group and its dual, this is no longer true in the various duality theorems of T. Tannaka, M. G. Krein, W. F. Stinespring . . . dealing with non abelian locally compact groups. The aim is then, in the line proposed by G. . Kac in 1961 and M. Takesaki in 1972, to find a good category of Hopf algebras, containing the category of locally compact groups and fulfilling a perfect duality.