Moonshine

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Publisher :
ISBN 13 : 9781107202535
Total Pages : 403 pages
Book Rating : 4.2/5 (25 download)

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Book Synopsis Moonshine by : James Lepowsky

Download or read book Moonshine written by James Lepowsky and published by . This book was released on 2010 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines the impact of the 'Monstrous Moonshine' paper on mathematics and theoretical physics.

Moonshine - The First Quarter Century and Beyond

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Publisher : Cambridge University Press
ISBN 13 : 0521106648
Total Pages : 415 pages
Book Rating : 4.5/5 (211 download)

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Book Synopsis Moonshine - The First Quarter Century and Beyond by : James Lepowsky

Download or read book Moonshine - The First Quarter Century and Beyond written by James Lepowsky and published by Cambridge University Press. This book was released on 2010-06-03 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume examines the impact of the 'Monstrous Moonshine' paper on mathematics and theoretical physics.

Beyond Hyperbolicity

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Publisher : Cambridge University Press
ISBN 13 : 1108577350
Total Pages : 242 pages
Book Rating : 4.1/5 (85 download)

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Book Synopsis Beyond Hyperbolicity by : Mark Hagen

Download or read book Beyond Hyperbolicity written by Mark Hagen and published by Cambridge University Press. This book was released on 2019-07-11 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the notion was introduced by Gromov in the 1980s, hyperbolicity of groups and spaces has played a significant role in geometric group theory; hyperbolic groups have good geometric properties that allow us to prove strong results. However, many classes of interest in our exploration of the universe of finitely generated groups contain examples that are not hyperbolic. Thus we wish to go 'beyond hyperbolicity' to find good generalisations that nevertheless permit similarly strong results. This book is the ideal resource for researchers wishing to contribute to this rich and active field. The first two parts are devoted to mini-courses and expository articles on coarse median spaces, semihyperbolicity, acylindrical hyperbolicity, Morse boundaries, and hierarchical hyperbolicity. These serve as an introduction for students and a reference for experts. The topics of the surveys (and more) re-appear in the research articles that make up Part III, presenting the latest results beyond hyperbolicity.

Advances in Lie Superalgebras

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Publisher : Springer Science & Business
ISBN 13 : 3319029525
Total Pages : 281 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Advances in Lie Superalgebras by : Maria Gorelik

Download or read book Advances in Lie Superalgebras written by Maria Gorelik and published by Springer Science & Business. This book was released on 2014-04-28 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume is the outcome of the conference "Lie superalgebras," which was held at the Istituto Nazionale di Alta Matematica, in 2012. The conference gathered many specialists in the subject, and the talks held provided comprehensive insights into the newest trends in research on Lie superalgebras (and related topics like vertex algebras, representation theory and supergeometry). The book contains contributions of many leading esperts in the field and provides a complete account of the newest trends in research on Lie Superalgebras.

Automorphic Forms

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Publisher : Springer
ISBN 13 : 3319113526
Total Pages : 242 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Automorphic Forms by : Bernhard Heim

Download or read book Automorphic Forms written by Bernhard Heim and published by Springer. This book was released on 2014-11-19 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume presents a collection of carefully refereed articles covering the latest advances in Automorphic Forms and Number Theory, that were primarily developed from presentations given at the 2012 “International Conference on Automorphic Forms and Number Theory,” held in Muscat, Sultanate of Oman. The present volume includes original research as well as some surveys and outlines of research altogether providing a contemporary snapshot on the latest activities in the field and covering the topics of: Borcherds products Congruences and Codes Jacobi forms Siegel and Hermitian modular forms Special values of L-series Recently, the Sultanate of Oman became a member of the International Mathematical Society. In view of this development, the conference provided the platform for scientific exchange and collaboration between scientists of different countries from all over the world. In particular, an opportunity was established for a close exchange between scientists and students of Germany, Oman, and Japan. The conference was hosted by the Sultan Qaboos University and the German University of Technology in Oman.

The Calabi–Yau Landscape

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Publisher : Springer Nature
ISBN 13 : 3030775623
Total Pages : 214 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis The Calabi–Yau Landscape by : Yang-Hui He

Download or read book The Calabi–Yau Landscape written by Yang-Hui He and published by Springer Nature. This book was released on 2021-07-31 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Can artificial intelligence learn mathematics? The question is at the heart of this original monograph bringing together theoretical physics, modern geometry, and data science. The study of Calabi–Yau manifolds lies at an exciting intersection between physics and mathematics. Recently, there has been much activity in applying machine learning to solve otherwise intractable problems, to conjecture new formulae, or to understand the underlying structure of mathematics. In this book, insights from string and quantum field theory are combined with powerful techniques from complex and algebraic geometry, then translated into algorithms with the ultimate aim of deriving new information about Calabi–Yau manifolds. While the motivation comes from mathematical physics, the techniques are purely mathematical and the theme is that of explicit calculations. The reader is guided through the theory and provided with explicit computer code in standard software such as SageMath, Python and Mathematica to gain hands-on experience in applications of artificial intelligence to geometry. Driven by data and written in an informal style, The Calabi–Yau Landscape makes cutting-edge topics in mathematical physics, geometry and machine learning readily accessible to graduate students and beyond. The overriding ambition is to introduce some modern mathematics to the physicist, some modern physics to the mathematician, and machine learning to both.

Torsors, Étale Homotopy and Applications to Rational Points

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Publisher : Cambridge University Press
ISBN 13 : 1107616123
Total Pages : 470 pages
Book Rating : 4.1/5 (76 download)

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Book Synopsis Torsors, Étale Homotopy and Applications to Rational Points by : Alexei Skorobogatov

Download or read book Torsors, Étale Homotopy and Applications to Rational Points written by Alexei Skorobogatov and published by Cambridge University Press. This book was released on 2013-04-18 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lecture notes and research articles on the use of torsors and étale homotopy in algebraic and arithmetic geometry.

Computational Cryptography

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Publisher :
ISBN 13 : 1108848427
Total Pages : 402 pages
Book Rating : 4.1/5 (88 download)

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Book Synopsis Computational Cryptography by : Joppe Bos

Download or read book Computational Cryptography written by Joppe Bos and published by . This book was released on 2021-12-09 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: The area of computational cryptography is dedicated to the development of effective methods in algorithmic number theory that improve implementation of cryptosystems or further their cryptanalysis. This book is a tribute to Arjen K. Lenstra, one of the key contributors to the field, on the occasion of his 65th birthday, covering his best-known scientific achievements in the field. Students and security engineers will appreciate this no-nonsense introduction to the hard mathematical problems used in cryptography and on which cybersecurity is built, as well as the overview of recent advances on how to solve these problems from both theoretical and practical applied perspectives. Beginning with polynomials, the book moves on to the celebrated Lenstra-Lenstra-Lovász lattice reduction algorithm, and then progresses to integer factorization and the impact of these methods to the selection of strong cryptographic keys for usage in widely used standards.

A Double Hall Algebra Approach to Affine Quantum Schur–Weyl Theory

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Publisher : Cambridge University Press
ISBN 13 : 1139789937
Total Pages : 217 pages
Book Rating : 4.1/5 (397 download)

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Book Synopsis A Double Hall Algebra Approach to Affine Quantum Schur–Weyl Theory by : Bangming Deng

Download or read book A Double Hall Algebra Approach to Affine Quantum Schur–Weyl Theory written by Bangming Deng and published by Cambridge University Press. This book was released on 2012-12-06 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of Schur–Weyl duality has had a profound influence over many areas of algebra and combinatorics. This text is original in two respects: it discusses affine q-Schur algebras and presents an algebraic, as opposed to geometric, approach to affine quantum Schur–Weyl theory. To begin, various algebraic structures are discussed, including double Ringel–Hall algebras of cyclic quivers and their quantum loop algebra interpretation. The rest of the book investigates the affine quantum Schur–Weyl duality on three levels. This includes the affine quantum Schur–Weyl reciprocity, the bridging role of affine q-Schur algebras between representations of the quantum loop algebras and those of the corresponding affine Hecke algebras, presentation of affine quantum Schur algebras and the realisation conjecture for the double Ringel–Hall algebra with a proof of the classical case. This text is ideal for researchers in algebra and graduate students who want to master Ringel–Hall algebras and Schur–Weyl duality.

Permutation Groups and Cartesian Decompositions

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Publisher : Cambridge University Press
ISBN 13 : 131699905X
Total Pages : 338 pages
Book Rating : 4.3/5 (169 download)

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Book Synopsis Permutation Groups and Cartesian Decompositions by : Cheryl E. Praeger

Download or read book Permutation Groups and Cartesian Decompositions written by Cheryl E. Praeger and published by Cambridge University Press. This book was released on 2018-05-03 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Permutation groups, their fundamental theory and applications are discussed in this introductory book. It focuses on those groups that are most useful for studying symmetric structures such as graphs, codes and designs. Modern treatments of the O'Nan–Scott theory are presented not only for primitive permutation groups but also for the larger families of quasiprimitive and innately transitive groups, including several classes of infinite permutation groups. Their precision is sharpened by the introduction of a cartesian decomposition concept. This facilitates reduction arguments for primitive groups analogous to those, using orbits and partitions, that reduce problems about general permutation groups to primitive groups. The results are particularly powerful for finite groups, where the finite simple group classification is invoked. Applications are given in algebra and combinatorics to group actions that preserve cartesian product structures. Students and researchers with an interest in mathematical symmetry will find the book enjoyable and useful.

Integrable Systems and Algebraic Geometry

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Publisher : Cambridge University Press
ISBN 13 : 1108715745
Total Pages : 421 pages
Book Rating : 4.1/5 (87 download)

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Book Synopsis Integrable Systems and Algebraic Geometry by : Ron Donagi

Download or read book Integrable Systems and Algebraic Geometry written by Ron Donagi and published by Cambridge University Press. This book was released on 2020-04-02 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.

Effective Results and Methods for Diophantine Equations over Finitely Generated Domains

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Publisher : Cambridge University Press
ISBN 13 : 1009050036
Total Pages : 242 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Effective Results and Methods for Diophantine Equations over Finitely Generated Domains by : Jan-Hendrik Evertse

Download or read book Effective Results and Methods for Diophantine Equations over Finitely Generated Domains written by Jan-Hendrik Evertse and published by Cambridge University Press. This book was released on 2022-04-28 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the first thorough treatment of effective results and methods for Diophantine equations over finitely generated domains. Compiling diverse results and techniques from papers written in recent decades, the text includes an in-depth analysis of classical equations including unit equations, Thue equations, hyper- and superelliptic equations, the Catalan equation, discriminant equations and decomposable form equations. The majority of results are proved in a quantitative form, giving effective bounds on the sizes of the solutions. The necessary techniques from Diophantine approximation and commutative algebra are all explained in detail without requiring any specialized knowledge on the topic, enabling readers from beginning graduate students to experts to prove effective finiteness results for various further classes of Diophantine equations.

Elliptic Regularity Theory by Approximation Methods

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Publisher : Cambridge University Press
ISBN 13 : 1009096664
Total Pages : 203 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Elliptic Regularity Theory by Approximation Methods by : Edgard A. Pimentel

Download or read book Elliptic Regularity Theory by Approximation Methods written by Edgard A. Pimentel and published by Cambridge University Press. This book was released on 2022-09-29 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern account of elliptic regularity theory, with a rigorous presentation of recent developments for fundamental models.

Mathematical Models in Contact Mechanics

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Publisher : Cambridge University Press
ISBN 13 : 1139577204
Total Pages : 295 pages
Book Rating : 4.1/5 (395 download)

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Book Synopsis Mathematical Models in Contact Mechanics by : Mircea Sofonea

Download or read book Mathematical Models in Contact Mechanics written by Mircea Sofonea and published by Cambridge University Press. This book was released on 2012-09-13 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a complete introduction to the theory of variational inequalities with emphasis on contact mechanics. It covers existence, uniqueness and convergence results for variational inequalities, including the modelling and variational analysis of specific frictional contact problems with elastic, viscoelastic and viscoplastic materials. New models of contact are presented, including contact of piezoelectric materials. Particular attention is paid to the study of history-dependent quasivariational inequalities and to their applications in the study of contact problems with unilateral constraints. The book fully illustrates the cross-fertilisation between modelling and applications on the one hand and nonlinear mathematical analysis on the other. Indeed, the reader will gain an understanding of how new and nonstandard models in contact mechanics lead to new types of variational inequalities and, conversely, how abstract results concerning variational inequalities can be applied to prove the unique solvability of the corresponding contact problems.

(Co)end Calculus

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Publisher : Cambridge University Press
ISBN 13 : 1108746128
Total Pages : 331 pages
Book Rating : 4.1/5 (87 download)

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Book Synopsis (Co)end Calculus by : Fosco Loregian

Download or read book (Co)end Calculus written by Fosco Loregian and published by Cambridge University Press. This book was released on 2021-07-22 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: This easy-to-cite handbook gives the first systematic treatment of the (co)end calculus in category theory and its applications.

Partial Differential Equations arising from Physics and Geometry

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Publisher : Cambridge University Press
ISBN 13 : 1108431631
Total Pages : 471 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Partial Differential Equations arising from Physics and Geometry by : Mohamed Ben Ayed

Download or read book Partial Differential Equations arising from Physics and Geometry written by Mohamed Ben Ayed and published by Cambridge University Press. This book was released on 2019-05-02 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the state of the art in PDEs, including the latest research and short courses accessible to graduate students.

Facets of Algebraic Geometry

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Publisher : Cambridge University Press
ISBN 13 : 1108792510
Total Pages : 395 pages
Book Rating : 4.1/5 (87 download)

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Book Synopsis Facets of Algebraic Geometry by : Paolo Aluffi

Download or read book Facets of Algebraic Geometry written by Paolo Aluffi and published by Cambridge University Press. This book was released on 2022-04-07 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written to honor the enduring influence of William Fulton, these articles present substantial contributions to algebraic geometry.