The Geometry of Spherically Symmetric Finsler Manifolds, Enli Guo; Xiaohuan Mo

Автор: Michio Kuga
Название: Kuga Varieties: Fiber Varieties Over a Symmetric Space Whose Fibers are Abelian Varieties
ISBN: 7040503042 ISBN-13(EAN): 9787040503043
Издательство: Mare Nostrum (Eurospan)
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Цена: 60990.00 T
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Описание: Kuga varieties are fiber varieties over symmetric spaces whose fibers are abelian varieties and have played an important role in the theory of Shimura varieties and number theory. This book is the first systematic exposition of these varieties and was written by their creators. It contains four chapters. Chapter 1 gives a detailed generalization to vector valued harmonic forms. These results are applied to construct Kuga varieties in Chapter 2 and to understand their cohomology groups. Chapter 3 studies Hecke operators, which are the most basic operators in modular forms. All the previous results are applied in Chapter 4 to prove the modularity property of certain Kuga varieties. Note that the modularity property of elliptic curves is the key ingredient of Wiles' proof of Fermat's Last Theorem. This book also contains one of Weil's letters and a paper by Satake which are relevant to the topic of the book.

Автор: Gilkey, Peter B.
Название: Geometry of spherical space form groups, the
ISBN: 9813220783 ISBN-13(EAN): 9789813220782
Издательство: World Scientific Publishing
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Цена: 179520.00 T
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This volume focuses on discussing the interplay between the analysis, as exemplified by the eta invariant and other spectral invariants, the number theory, as exemplified by the relevant Dedekind sums and Rademacher reciprocity, the algebraic topology, as exemplified by the equivariant bordism groups, K-theory groups, and connective K-theory groups, and the geometry of spherical space forms, as exemplified by the Smith homomorphism. These are used to study the existence of metrics of positive scalar curvature on spin manifolds of dimension at least 5 whose fundamental group is a spherical space form group.

This volume is a completely rewritten revision of the first edition. The underlying organization is modified to provide a better organized and more coherent treatment of the material involved. In addition, approximately 100 pages have been added to study the existence of metrics of positive scalar curvature on spin manifolds of dimension at least 5 whose fundamental group is a spherical space form group. We have chosen to focus on the geometric aspect of the theory rather than more abstract algebraic constructions (like the assembly map) and to restrict our attention to spherical space forms rather than more general and more complicated geometrical examples to avoid losing contact with the fundamental geometry which is involved.

Автор: Simon Hubbert; Qu?c Th?ng Le Gia; Tanya M. Morton
Название: Spherical Radial Basis Functions, Theory and Applications
ISBN: 3319179381 ISBN-13(EAN): 9783319179384
Издательство: Springer
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Цена: 46570.00 T
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Описание: This book is the first to be devoted to the theory and applications of spherical (radial) basis functions (SBFs), which is rapidly emerging as one of the most promising techniques for solving problems where approximations are needed on the surface of a sphere.

Автор: Jens Gerlach Christensen, Susanna Dann, Matthew Dawson
Название: Representation Theory and Harmonic Analysis on Symmetric Spaces
ISBN: 1470440709 ISBN-13(EAN): 9781470440701
Издательство: Mare Nostrum (Eurospan)
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Цена: 108680.00 T
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Описание: This volume contains the proceedings of the AMS Special Session on Harmonic Analysis, in honor of Gestur Olafsson's 65th birthday, held on January 4, 2017, in Atlanta, Georgia.The articles in this volume provide fresh perspectives on many different directions within harmonic analysis, highlighting the connections between harmonic analysis and the areas of integral geometry, complex analysis, operator algebras, Lie algebras, special functions, and differential operators. The breadth of contributions highlights the diversity of current research in harmonic analysis and shows that it continues to be a vibrant and fruitful field of inquiry.

Автор: Valery V. Volchkov; Vitaly V. Volchkov
Название: Offbeat Integral Geometry on Symmetric Spaces
ISBN: 3034808003 ISBN-13(EAN): 9783034808002
Издательство: Springer
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Цена: 102480.00 T
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Описание: This book surveys the development of integral geometry on domains of homogeneous spaces, covering analysis of multidimensional Euclidean domains and Riemannian symmetric spaces of arbitrary ranks as well as recent work on phase space and the Heisenberg group.

Автор: Eric S. Egge
Название: An Introduction to Symmetric Functions and Their Combinatorics
ISBN: 1470448998 ISBN-13(EAN): 9781470448998
Издательство: Mare Nostrum (Eurospan)
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Цена: 49330.00 T
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Описание: This book is a reader-friendly introduction to the theory of symmetric functions, and it includes fundamental topics such as the monomial, elementary, homogeneous, and Schur function bases; the skew Schur functions; the Jacobi-Trudi identities; the involution $\omega$; the Hall inner product; Cauchy's formula; the RSK correspondence and how to implement it with both insertion and growth diagrams; the Pieri rules; the Murnaghan-Nakayama rule; Knuth equivalence; jeu de taquin; and the Littlewood-Richardson rule. The book also includes glimpses of recent developments and active areas of research, including Grothendieck polynomials, dual stable Grothendieck polynomials, Stanley's chromatic symmetric function, and Stanley's chromatic tree conjecture. Written in a conversational style, the book contains many motivating and illustrative examples. Whenever possible it takes a combinatorial approach, using bijections, involutions, and combinatorial ideas to prove algebraic results.The prerequisites for this book are minimal-familiarity with linear algebra, partitions, and generating functions is all one needs to get started. This makes the book accessible to a wide array of undergraduates interested in combinatorics.

Автор: Fran?ois Rouvi?re
Название: Symmetric Spaces and the Kashiwara-Vergne Method
ISBN: 3319097725 ISBN-13(EAN): 9783319097725
Издательство: Springer
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Цена: 32600.00 T
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Описание: Its goal is to: - motivate and explain the method for general Lie groups, reducing the proof of deep results in invariant analysis to the verification of two formal Lie bracket identities related to the Campbell-Hausdorff formula (the "Kashiwara-Vergne conjecture");

Автор: Huan-nan Shi
Название: Schur-Convex Functions and Inequalities: Volume 1: Concepts, Properties, and Applications in Symmetric Function Inequalities
ISBN: 3110606127 ISBN-13(EAN): 9783110606126
Издательство: Walter de Gruyter
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Цена: 149940.00 T
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Описание: This two-volume work introduces the theory and applications of Schur-convex functions. The first volume introduces concepts and properties of Schur-convex functions, including Schur-geometrically convex functions, Schur-harmonically convex functions, Schur-power convex functions, etc. and also discusses applications of Schur-convex functions in symmetric function inequalities.

Автор: Pascale Harinck, Patrick Delorme, Yiannis Sakellaridis
Название: Paley-Wiener Theorems for a $p$-Adic Spherical Variety
ISBN: 147044402X ISBN-13(EAN): 9781470444020
Издательство: Mare Nostrum (Eurospan)
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Цена: 71060.00 T
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Автор: Chun-Ju Lai, Li Luo, Weiqiang Wang, Yiqiang Li, Zhaobing Fan
Название: Affine Flag Varieties and Quantum Symmetric Pairs
ISBN: 1470441756 ISBN-13(EAN): 9781470441753
Издательство: Mare Nostrum (Eurospan)
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Цена: 80390.00 T
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Описание: Demonstrates that the quantum groups arising from Lusztig algebras and Schur algebras via stabilization procedures are (idempotented) coideal subalgebras of quantum groups of affine $\mathfrak{sl}$ and $\mathfrak{gl}$ types, respectively. In this way, the authors provide geometric realizations of eight quantum symmetric pairs of affine types.

Автор: Whittlesey, Marshall A.
Название: Spherical geometry and its applications
ISBN: 0367196905 ISBN-13(EAN): 9780367196905
Издательство: Taylor&Francis
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Цена: 91860.00 T
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Описание: The author introduces spherical geometry and it practical applications in a mathematically rigorous form. Readers will see how the axiom system for plane geometry can be modified in certain ways to produce a completely different geometric world.

Автор: Byrne Oliver
Название: A Short Practical Treatise on Spherical Trigonometry
ISBN: 0341668389 ISBN-13(EAN): 9780341668381
Издательство: Неизвестно
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Цена: 17400.00 T
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