Groups St Andrews 2017 in Birmingham PDF Download
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Author: C. M. Campbell
Publisher: Cambridge University Press
ISBN: 110872874X
Category : Mathematics
Languages : en
Pages : 510
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Book Description
These proceedings of 'Groups St Andrews 2017' provide a snapshot of the state-of-the-art in contemporary group theory.
Author: C. M. Campbell
Publisher: Cambridge University Press
ISBN: 110872874X
Category : Mathematics
Languages : en
Pages : 510
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Book Description
These proceedings of 'Groups St Andrews 2017' provide a snapshot of the state-of-the-art in contemporary group theory.
Author: R. A. Bailey
Publisher: Cambridge University Press
ISBN: 1009465945
Category : Mathematics
Languages : en
Pages : 452
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Book Description
This collection of four short courses looks at group representations, graph spectra, statistical optimality, and symbolic dynamics, highlighting their common roots in linear algebra. It leads students from the very beginnings in linear algebra to high-level applications: representations of finite groups, leading to probability models and harmonic analysis; eigenvalues of growing graphs from quantum probability techniques; statistical optimality of designs from Laplacian eigenvalues of graphs; and symbolic dynamics, applying matrix stability and K-theory. An invaluable resource for researchers and beginning Ph.D. students, this book includes copious exercises, notes, and references.
Author: Benjamin Fine
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110342030
Category : Mathematics
Languages : en
Pages : 322
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Book Description
After being an open question for sixty years the Tarski conjecture was answered in the affirmative by Olga Kharlampovich and Alexei Myasnikov and independently by Zlil Sela. Both proofs involve long and complicated applications of algebraic geometry over free groups as well as an extension of methods to solve equations in free groups originally developed by Razborov. This book is an examination of the material on the general elementary theory of groups that is necessary to begin to understand the proofs. This material includes a complete exposition of the theory of fully residually free groups or limit groups as well a complete description of the algebraic geometry of free groups. Also included are introductory material on combinatorial and geometric group theory and first-order logic. There is then a short outline of the proof of the Tarski conjectures in the manner of Kharlampovich and Myasnikov.
Author: David Jordan
Publisher: Cambridge University Press
ISBN: 1009103474
Category : Mathematics
Languages : en
Pages : 408
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Book Description
Expanding upon the material delivered during the LMS Autumn Algebra School 2020, this volume reflects the fruitful connections between different aspects of representation theory. Each survey article addresses a specific subject from a modern angle, beginning with an exploration of the representation theory of associative algebras, followed by the coverage of important developments in Lie theory in the past two decades, before the final sections introduce the reader to three strikingly different aspects of group theory. Written at a level suitable for graduate students and researchers in related fields, this book provides pure mathematicians with a springboard into the vast and growing literature in each area.
Author: Carolina Araujo
Publisher: Cambridge University Press
ISBN: 1009193392
Category : Mathematics
Languages : en
Pages : 451
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Book Description
This book determines whether the general element of each family of Fano threefolds is K-polystable, a major problem in mathematics.
Author: Vladimir Dotsenko
Publisher: Cambridge University Press
ISBN: 1108967027
Category : Mathematics
Languages : en
Pages : 188
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Book Description
Covering an exceptional range of topics, this text provides a unique overview of the Maurer—Cartan methods in algebra, geometry, topology, and mathematical physics. It offers a new conceptual treatment of the twisting procedure, guiding the reader through various versions with the help of plentiful motivating examples for graduate students as well as researchers. Topics covered include a novel approach to the twisting procedure for operads leading to Kontsevich graph homology and a description of the twisting procedure for (homotopy) associative algebras or (homotopy) Lie algebras using the biggest deformation gauge group ever considered. The book concludes with concise surveys of recent applications in areas including higher category theory and deformation theory.
Author: Manfred Stoll
Publisher: Cambridge University Press
ISBN: 1107541484
Category : Mathematics
Languages : en
Pages : 243
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Book Description
A detailed treatment of potential theory on the real hyperbolic ball and half-space aimed at researchers and graduate students.
Author: Artur Czumaj
Publisher: Cambridge University Press
ISBN: 1107462509
Category : Mathematics
Languages : en
Pages : 333
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Book Description
This book contains surveys of recent important developments in combinatorics covering a wide range of areas in the field.
Author: Allan Lo
Publisher: Cambridge University Press
ISBN: 1108740723
Category : Mathematics
Languages : en
Pages : 274
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Book Description
Eight articles provide a valuable survey of the present state of knowledge in combinatorics.
Author: Aurelian Gheondea
Publisher: Cambridge University Press
ISBN: 1108981275
Category : Mathematics
Languages : en
Pages :
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Book Description
This modern introduction to operator theory on spaces with indefinite inner product discusses the geometry and the spectral theory of linear operators on these spaces, the deep interplay with complex analysis, and applications to interpolation problems. The text covers the key results from the last four decades in a readable way with full proofs provided throughout. Step by step, the reader is guided through the intricate geometry and topology of spaces with indefinite inner product, before progressing to a presentation of the geometry and spectral theory on these spaces. The author carefully highlights where difficulties arise and what tools are available to overcome them. With generous background material included in the appendices, this text is an excellent resource for researchers in operator theory, functional analysis, and related areas as well as for graduate students.
