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Automorphic Forms and Lie Superalgebras, Urmie Ray


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Автор: Urmie Ray
Название:  Automorphic Forms and Lie Superalgebras
ISBN: 9789048172542
Издательство: Springer
Классификация: ISBN-10: 9048172543
Обложка/Формат: Paperback
Страницы: 300
Вес: 0.42 кг.
Дата издания: 2006
Серия: Algebra and Applications
Язык: English
Размер: 234 x 156 x 16
Читательская аудитория: Science
Ссылка на Издательство: Link
Поставляется из: Германии
Описание:

A principal ingredient in the proof of the Moonshine Theorem, connecting the Monster group to modular forms, is the infinite dimensional Lie algebra of physical states of a chiral string on an orbifold of a 26 dimensional torus, called the Monster Lie algebra. It is a Borcherds-Kac-Moody Lie algebra with Lorentzian root lattice; and has an associated automorphic form having a product expansion describing its structure. Lie superalgebras are generalizations of Lie algebras, useful for depicting supersymmetry - the symmetry relating fermions and bosons. Most known examples of Lie superalgebras with a related automorphic form such as the Fake Monster Lie algebra whose reflection group is given by the Leech lattice arise from (super)string theory and can be derived from lattice vertex algebras. The No-Ghost Theorem from dual resonance theory and a conjecture of Berger-Li-Sarnak on the eigenvalues of the hyperbolic Laplacian provide strong evidence that they are of rank at most 26.

The aim of this book is to give the reader the tools to understand the ongoing classification and construction project of this class of Lie superalgebras and is ideal for a graduate course. The necessary background is given within chapters or in appendices.




Automorphic Forms and Galois Representations

Автор: Diamond
Название: Automorphic Forms and Galois Representations
ISBN: 1107693632 ISBN-13(EAN): 9781107693630
Издательство: Cambridge Academ
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Цена: 9186.00 р.
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Описание: This collection, the second of two volumes arising from an LMS-EPSRC Durham Symposium, explores the importance of automorphic forms and Galois representations in number theory. The expository articles and research papers within cover recent progress in anabelian geometry, p-adic Hodge theory, the Langlands program, and p-adic methods in number theory.

Automorphic Forms and Galois Representations

Автор: Diamond
Название: Automorphic Forms and Galois Representations
ISBN: 1107691923 ISBN-13(EAN): 9781107691926
Издательство: Cambridge Academ
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Цена: 9979.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This collection, the first of two volumes arising from an LMS-EPSRC Durham Symposium, explores the importance of automorphic forms and Galois representations in number theory. The expository articles and research papers within cover recent progress in anabelian geometry, p-adic Hodge theory, the Langlands program, and p-adic methods in number theory.

Introduction To Non-Abelian Class Field Theory, An: Automorphic Forms Of Weight 1 And 2-Dimensional Galois Representations

Автор: Hiramatsu Toyokazu Et Al
Название: Introduction To Non-Abelian Class Field Theory, An: Automorphic Forms Of Weight 1 And 2-Dimensional Galois Representations
ISBN: 981314226X ISBN-13(EAN): 9789813142268
Издательство: World Scientific Publishing
Цена: 12830.00 р.
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Описание: This monograph provides a brief exposition of automorphic forms of weight 1 and their applications to arithmetic, especially to Galois representations.

Families of Automorphic Forms and the Trace Formula

Автор: M?ller
Название: Families of Automorphic Forms and the Trace Formula
ISBN: 3319414224 ISBN-13(EAN): 9783319414225
Издательство: Springer
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Цена: 23058.00 р.
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Описание:

Featuring the work of twenty-three internationally-recognized experts, this volume explores the trace formula, spectra of locally symmetric spaces, p-adic families, and other recent techniques from harmonic analysis and representation theory.
Each peer-reviewed submission in this volume, based on the Simons Foundation symposium on families of automorphic forms and the trace formula held in Puerto Rico in January-February 2014, is the product of intensive research collaboration by the participants over the course of the seven-day workshop. The goal of each session in the symposium was to bring together researchers with diverse specialties in order to identify key difficulties as well as fruitful approaches being explored in the field. The respective themes were counting cohomological forms, p-adic trace formulas, Hecke fields, slopes of modular forms, and orbital integrals.
Geometry And Analysis Of Automorphic Forms Of Several Variables - Proceedings Of The International Symposium In Honor Of Takayuki Oda On The Occasion Of His 60Th Birthday

Автор: Hamahata Yoshinori Et Al
Название: Geometry And Analysis Of Automorphic Forms Of Several Variables - Proceedings Of The International Symposium In Honor Of Takayuki Oda On The Occasion Of His 60Th Birthday
ISBN: 9814355593 ISBN-13(EAN): 9789814355599
Издательство: World Scientific Publishing
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Цена: 21701.00 р.
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Описание: Contains contributions of principal speakers of the symposium on geometry and analysis of automorphic forms of several variables, held in September 2009 at Tokyo, Japan, in honor of Takayuki Oda`s 60th birthday. This title presents both research and survey articles in the fields that are the main themes of his work.

Shafarevich Maps and Automorphic Forms

Автор: Kollar Janos
Название: Shafarevich Maps and Automorphic Forms
ISBN: 0691607907 ISBN-13(EAN): 9780691607900
Издательство: Wiley
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Цена: 6336.00 р.
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Описание: The aim of this book is to study various geometric properties and algebraic invariants of smooth projective varieties with infinite fundamental groups. This approach allows for much interplay between methods of algebraic geometry, complex analysis, the theory of harmonic maps, and topology. Making systematic use of Shafarevich maps, a concept previ


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