Geometry from the Pacific Rim

Geometry from the Pacific Rim PDF Author: A. Jon Berrick
Publisher: Walter de Gruyter
ISBN: 3110908964
Category : Mathematics
Languages : en
Pages : 445

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Book Description
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Geometry from the Pacific Rim

Geometry from the Pacific Rim PDF Author: A. Jon Berrick
Publisher: Walter de Gruyter
ISBN: 3110908964
Category : Mathematics
Languages : en
Pages : 445

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Book Description
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Artificial Intelligence in the Pacific Rim

Artificial Intelligence in the Pacific Rim PDF Author: Hozumi Tanaka
Publisher: IOS Press
ISBN: 9789051990539
Category : Computers
Languages : en
Pages : 1024

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Book Description
In the last decade, AI firmly settled into our industrial society with the expert systems as the representative product. However, almost every one of the systems could cover only a single task domain. In the highly mechanized world of the 21st century, systems will become smart and user friendly enough to cover a wide range of task domains. Systems with much user friendliness must be multilingual because users in different domains usually have different languages. Language is formed in its own culture. Therefore, promotion for cross-cultural scientific interchange will be indispensable for the progress of AI.

Geometric and Spectral Analysis

Geometric and Spectral Analysis PDF Author: Pierre Albin
Publisher: American Mathematical Soc.
ISBN: 1470410435
Category : Mathematics
Languages : en
Pages : 378

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Book Description
In 2012, the Centre de Recherches Mathématiques was at the center of many interesting developments in geometric and spectral analysis, with a thematic program on Geometric Analysis and Spectral Theory followed by a thematic year on Moduli Spaces, Extremality and Global Invariants. This volume contains original contributions as well as useful survey articles of recent developments by participants from three of the workshops organized during these programs: Geometry of Eigenvalues and Eigenfunctions, held from June 4-8, 2012; Manifolds of Metrics and Probabilistic Methods in Geometry and Analysis, held from July 2-6, 2012; and Spectral Invariants on Non-compact and Singular Spaces, held from July 23-27, 2012. The topics covered in this volume include Fourier integral operators, eigenfunctions, probability and analysis on singular spaces, complex geometry, Kähler-Einstein metrics, analytic torsion, and Strichartz estimates. This book is co-published with the Centre de Recherches Mathématiques.

Hybridity

Hybridity PDF Author: Vanessa Guignery
Publisher: Cambridge Scholars Publishing
ISBN: 1443833967
Category : Literary Criticism
Languages : en
Pages : 380

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Book Description
Over the last two decades, the unstable notion of hybridity has been the focus of a number of debates in cultural and literary studies, and has been discussed in connection with such notions as métissage, creolization, syncretism, diaspora, transculturation and in-betweeness. The aim of this volume is to form a critical assessment of the scope, significance and role of the notion in literature and the visual arts from the eighteenth century to the present day. The contributors propose to examine the development and various manifestations of the concept as a principle held in contempt by the partisans of racial purity, a process enthusiastically promoted by adepts of mixing and syncretism, but also a notion viewed with suspicion by those who decry its multifarious and triumphalist dimensions and its lack of political roots. The notion of hybridity is analysed in relation to the concepts of identity, nationhood, language and culture, drawing from the theories of Mikhail Bakhtin, Homi Bhabha, Robert Young, Paul Gilroy and Edouard Glissant, among others. Contributors examine forms of hybridity in the work of such canonical writers as Daniel Defoe, Robert Louis Stevenson, Thomas De Quincey and Victor Hugo, as well as in contemporary American and British fiction, Neo-Victorian and postcolonial literature.

Compositions of Quadratic Forms

Compositions of Quadratic Forms PDF Author: Daniel B. Shapiro
Publisher: Walter de Gruyter
ISBN: 3110824833
Category : Mathematics
Languages : en
Pages : 433

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Book Description
The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Vertex Algebras and Algebraic Curves

Vertex Algebras and Algebraic Curves PDF Author: Edward Frenkel
Publisher: American Mathematical Soc.
ISBN: 0821836749
Category : Mathematics
Languages : en
Pages : 418

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Book Description
Vertex algebras are algebraic objects that encapsulate the concept of operator product expansion from two-dimensional conformal field theory. Vertex algebras are fast becoming ubiquitous in many areas of modern mathematics, with applications to representation theory, algebraic geometry, the theory of finite groups, modular functions, topology, integrable systems, and combinatorics. This book is an introduction to the theory of vertex algebras with a particular emphasis on the relationship with the geometry of algebraic curves. The notion of a vertex algebra is introduced in a coordinate-independent way, so that vertex operators become well defined on arbitrary smooth algebraic curves, possibly equipped with additional data, such as a vector bundle. Vertex algebras then appear as the algebraic objects encoding the geometric structure of various moduli spaces associated with algebraic curves. Therefore they may be used to give a geometric interpretation of various questions of representation theory. The book contains many original results, introduces important new concepts, and brings new insights into the theory of vertex algebras. The authors have made a great effort to make the book self-contained and accessible to readers of all backgrounds. Reviewers of the first edition anticipated that it would have a long-lasting influence on this exciting field of mathematics and would be very useful for graduate students and researchers interested in the subject. This second edition, substantially improved and expanded, includes several new topics, in particular an introduction to the Beilinson-Drinfeld theory of factorization algebras and the geometric Langlands correspondence.

The Legacy of Niels Henrik Abel

The Legacy of Niels Henrik Abel PDF Author: Olav Arnfinn Laudal
Publisher: Springer Science & Business Media
ISBN: 3642189083
Category : Mathematics
Languages : en
Pages : 785

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Book Description
A unique series of fascinating research papers on subjects related to the work of Niels Henrik Abel, written by some of the foremost specialists in their fields. Some of the authors have been specifically invited to present papers, discussing the influence of Abel in a mathematical-historical context. Others have submitted papers presented at the Abel Bicentennial Conference, Oslo June 3-8, 2002. The idea behind the book has been to produce a text covering a substantial part of the legacy of Abel, as perceived at the beginning of the 21st century.

Publicationes mathematicae

Publicationes mathematicae PDF Author: Kossuth Lajos Tudományegyetem. Matematikai Intézet
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 462

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Book Description


Harmonic Morphisms, Harmonic Maps and Related Topics

Harmonic Morphisms, Harmonic Maps and Related Topics PDF Author: Christopher Kum Anand
Publisher: CRC Press
ISBN: 9781584880325
Category : Mathematics
Languages : en
Pages : 332

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Book Description
The subject of harmonic morphisms is relatively new but has attracted a huge worldwide following. Mathematicians, young researchers and distinguished experts came from all corners of the globe to the City of Brest - site of the first, international conference devoted to the fledgling but dynamic field of harmonic morphisms. Harmonic Morphisms, Harmonic Maps, and Related Topics reports the proceedings of that conference, forms the first work primarily devoted to harmonic morphisms, bringing together contributions from the founders of the subject, leading specialists, and experts in other related fields. Starting with "The Beginnings of Harmonic Morphisms," which provides the essential background, the first section includes papers on the stability of harmonic morphisms, global properties, harmonic polynomial morphisms, Bochner technique, f-structures, symplectic harmonic morphisms, and discrete harmonic morphisms. The second section addresses the wider domain of harmonic maps and contains some of the most recent results on harmonic maps and surfaces. The final section highlights the rapidly developing subject of constant mean curvature surfaces. Harmonic Morphisms, Harmonic Maps, and Related Topics offers a coherent, balanced account of this fast-growing subject that furnishes a vital reference for anyone working in the field.

Total Mean Curvature And Submanifolds Of Finite Type (2nd Edition)

Total Mean Curvature And Submanifolds Of Finite Type (2nd Edition) PDF Author: Bang-yen Chen
Publisher: World Scientific Publishing Company
ISBN: 9814616710
Category : Mathematics
Languages : en
Pages : 486

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Book Description
During the last four decades, there were numerous important developments on total mean curvature and the theory of finite type submanifolds. This unique and expanded second edition comprises a comprehensive account of the latest updates and new results that cover total mean curvature and submanifolds of finite type. The longstanding biharmonic conjecture of the author's and the generalized biharmonic conjectures are also presented in details. This book will be of use to graduate students and researchers in the field of geometry.