Surveys in Combinatorics 2011

Surveys in Combinatorics 2011

Author: Robin Chapman

Publisher: Cambridge University Press

Published: 2011-06-23

Total Pages: 447

ISBN-13: 1139503685

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This volume contains articles based on the invited lectures given at the 23rd British Combinatorial Conference, held in July 2011 at the University of Exeter. Each article surveys an area of current research in combinatorial mathematics and will be invaluable to anyone wishing to keep abreast of modern developments.


Foundations of Computational Mathematics, Budapest 2011

Foundations of Computational Mathematics, Budapest 2011

Author: Society for the Foundation of Computational Mathematics

Publisher: Cambridge University Press

Published: 2013

Total Pages: 249

ISBN-13: 1107604079

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A diverse collection of articles by leading experts in computational mathematics, written to appeal to established researchers and non-experts.


Surveys in Combinatorics 2015

Surveys in Combinatorics 2015

Author: Artur Czumaj

Publisher: Cambridge University Press

Published: 2015-07-02

Total Pages: 333

ISBN-13: 1107462509

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This book contains surveys of recent important developments in combinatorics covering a wide range of areas in the field.


Modern Trends in Algebra and Representation Theory

Modern Trends in Algebra and Representation Theory

Author: David Jordan

Publisher: Cambridge University Press

Published: 2023-08-17

Total Pages: 407

ISBN-13: 1009097350

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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.


Arithmetic and Geometry

Arithmetic and Geometry

Author: Luis Dieulefait

Publisher: Cambridge University Press

Published: 2015-10-08

Total Pages: 539

ISBN-13: 1107462541

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The world's leading authorities describe the state of the art in Serre's conjecture and rational points on algebraic varieties.


Inequalities for Graph Eigenvalues

Inequalities for Graph Eigenvalues

Author: Zoran Stanić

Publisher: Cambridge University Press

Published: 2015-07-23

Total Pages: 311

ISBN-13: 1316395758

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Written for mathematicians working with the theory of graph spectra, this book explores more than 400 inequalities for eigenvalues of the six matrices associated with finite simple graphs: the adjacency matrix, Laplacian matrix, signless Laplacian matrix, normalized Laplacian matrix, Seidel matrix, and distance matrix. The book begins with a brief survey of the main results and selected applications to related topics, including chemistry, physics, biology, computer science, and control theory. The author then proceeds to detail proofs, discussions, comparisons, examples, and exercises. Each chapter ends with a brief survey of further results. The author also points to open problems and gives ideas for further reading.


Groups St Andrews 2013

Groups St Andrews 2013

Author: C. M. Campbell

Publisher: Cambridge University Press

Published: 2015-10-22

Total Pages: 503

ISBN-13: 1316467910

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Every four years, leading researchers gather to survey the latest developments in all aspects of group theory. Since 1981, the proceedings of those meetings have provided a regular snapshot of the state of the art in group theory and helped to shape the direction of research in the field. This volume contains selected papers from the 2013 meeting held in St Andrews. It begins with major articles from each of the four main speakers: Emmanuel Breuillard (Paris-Sud), Martin Liebeck (Imperial College London), Alan Reid (Texas) and Karen Vogtmann (Cornell). These are followed by, in alphabetical order, survey articles contributed by other conference participants, which cover a wide spectrum of modern group theory.


Geometry, Topology, and Dynamics in Negative Curvature

Geometry, Topology, and Dynamics in Negative Curvature

Author: C. S. Aravinda

Publisher: Cambridge University Press

Published: 2016-01-21

Total Pages: 378

ISBN-13: 1316539180

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The ICM 2010 satellite conference 'Geometry, Topology and Dynamics in Negative Curvature' afforded an excellent opportunity to discuss various aspects of this fascinating interdisciplinary subject in which methods and techniques from geometry, topology, and dynamics often interact in novel and interesting ways. Containing ten survey articles written by some of the leading experts in the field, this proceedings volume provides an overview of important recent developments relating to negative curvature. Topics covered include homogeneous dynamics, harmonic manifolds, the Atiyah Conjecture, counting circles and arcs, and hyperbolic buildings. Each author pays particular attention to the expository aspects, making the book particularly useful for graduate students and mathematicians interested in transitioning from other areas via the common theme of negative curvature.


Maurer–Cartan Methods in Deformation Theory

Maurer–Cartan Methods in Deformation Theory

Author: Vladimir Dotsenko

Publisher: Cambridge University Press

Published: 2023-08-31

Total Pages: 187

ISBN-13: 1108965644

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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.