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Moonshine Beyond The Monster
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Book Synopsis Moonshine beyond the Monster by : Terry Gannon
Download or read book Moonshine beyond the Monster written by Terry Gannon and published by Cambridge University Press. This book was released on 2006-09-07 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book was originally published in 2006. Moonshine forms a way of explaining the mysterious connection between the monster finite group and modular functions from classical number theory. The theory has evolved to describe the relationship between finite groups, modular forms and vertex operator algebras. Moonshine Beyond the Monster describes the general theory of Moonshine and its underlying concepts, emphasising the interconnections between mathematics and mathematical physics. Written in a clear and pedagogical style, this book is ideal for graduate students and researchers working in areas such as conformal field theory, string theory, algebra, number theory, geometry and functional analysis. Containing over a hundred exercises, it is also a suitable textbook for graduate courses on Moonshine and as supplementary reading for courses on conformal field theory and string theory.
Book Synopsis Moonshine beyond the Monster by : Terry Gannon
Download or read book Moonshine beyond the Monster written by Terry Gannon and published by Cambridge University Press. This book was released on 2023-07-31 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis Symmetry and the Monster by : Mark Ronan
Download or read book Symmetry and the Monster written by Mark Ronan and published by Oxford University Press. This book was released on 2007-07-26 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: In an exciting, fast-paced historical narrative ranging across two centuries, Ronan takes readers on an exhilarating tour of this final mathematical quest to understand symmetry.
Book Synopsis Quantum Field Theory and the Standard Model by : Matthew D. Schwartz
Download or read book Quantum Field Theory and the Standard Model written by Matthew D. Schwartz and published by Cambridge University Press. This book was released on 2014 with total page 869 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern introduction to quantum field theory for graduates, providing intuitive, physical explanations supported by real-world applications and homework problems.
Book Synopsis Noodling for Flatheads by : Burkhard Bilger
Download or read book Noodling for Flatheads written by Burkhard Bilger and published by Simon and Schuster. This book was released on 2001-03-22 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Old South is slow to give up its secrets. Though satellite dishes outnumber banjo players a thousand to one, most traditions haven't died; they've just gone into hiding. Cockfighting is illegal in forty-eight states, yet there are three national cockfighting magazines and cockpits in even the most tranquil communities. Homemade liquor has been outlawed for more than a century, yet moonshiners in Virginia still ship nearly one million gallons a year. Some of these pastimes are ancient, others ultramodern; some are illegal, others merely obscure. But the people who practice them share an undeniable kinship. Instead of wealth, promotion, or a few seconds of prime time, they follow dreams that lead them ever deeper underground. They are reminders, ultimately, that American culture isn't as predictable as it seems-that the weeds growing between its cracks are its most vital signs of life. In these masterfully crafted essays, Burkhard Bilger explores the history and practice of eight such clandestine worlds. Like John McPhee and Ian Frazier, he introduces us to people whose spirit of individualism keeps traditions alive, from a fifty-something female coon hunter who spends 340 nights a year in the woods to a visionary frog farmer and a man whose arms are scarred by the eighty-pound catfish he catches by hand. A fluid combination of adventure, history, and humor, Noodling for Flatheads is evocative, intelligent, and wonder-fully weird-a splendid antidote to the sameness of today's popular culture.
Book Synopsis Finite Simple Groups: Thirty Years of the Atlas and Beyond by : Manjul Bhargava
Download or read book Finite Simple Groups: Thirty Years of the Atlas and Beyond written by Manjul Bhargava and published by American Mathematical Soc.. This book was released on 2017-07-24 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classification of Finite Simple Groups, one of the most monumental accomplishments of modern mathematics, was announced in 1983 with the proof completed in 2004. Since then, it has opened up a new and powerful strategy to approach and resolve many previously inaccessible problems in group theory, number theory, combinatorics, coding theory, algebraic geometry, and other areas of mathematics. This strategy crucially utilizes various information about finite simple groups, part of which is catalogued in the Atlas of Finite Groups (John H. Conway et al.), and in An Atlas of Brauer Characters (Christoph Jansen et al.). It is impossible to overestimate the roles of the Atlases and the related computer algebra systems in the everyday life of researchers in many areas of contemporary mathematics. The main objective of the conference was to discuss numerous applications of the Atlases and to explore recent developments and future directions of research, with focus on the interaction between computation and theory and applications to number theory and algebraic geometry. The papers in this volume are based on talks given at the conference. They present a comprehensive survey on current research in all of these fields.
Download or read book Simon written by Alexander Masters and published by Delacorte Press. This book was released on 2012-02-28 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: Alexander Masters tripped over his first book subject on a Cambridge sidewalk, and the result was the multi-award-winning bestseller Stuart: A Life Backwards. His second, he’s found under his floorboards. One of the greatest mathematical prodigies of the twentieth century, Simon Norton stomps around Alexander’s basement in semidarkness, dodging between stalagmites of bus timetables and engorged plastic bags, eating tinned kippers stirred into packets of Bombay mix. Simon is exploring a theoretical puzzle so complex and critical to our understanding of the universe that it is known as the Monster. It looks like a sudoku table—except a sudoku table has nine columns of numbers. The Monster has 808017424794512875886459904961710757005754368000000000 columns. But that’s not the whole story. What’s inside the decaying sports bag he never lets out of his clutches? Why does he hurtle out of the house in the middle of the night? And—good God!—what is that noxious smell that creeps up the stairwell? Grumpy, poignant, comical—more intimate than either the author or his quarry intended—Simon: The Genius in My Basement is the story of a friendship and a pursuit. Part biography, part memoir, and part popular science, it is a study of the frailty of brilliance, the measures of happiness, and Britain’s most uncooperative egghead eccentric.
Book Synopsis Finding Moonshine: A Mathematician's Journey Through Symmetry (Text Only) by : Marcus du Sautoy
Download or read book Finding Moonshine: A Mathematician's Journey Through Symmetry (Text Only) written by Marcus du Sautoy and published by HarperCollins UK. This book was released on 2012-05-31 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new ebook from the author of 'The Music of the Primes' combines a personal insight into the mind of a working mathematician with the story of one of the biggest adventures in mathematics: the search for symmetry.
Book Synopsis Strings, Gauge Fields, and the Geometry Behind by : Anton Rebhan
Download or read book Strings, Gauge Fields, and the Geometry Behind written by Anton Rebhan and published by World Scientific. This book was released on 2013 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains exclusively invited contributions from collaborators of Maximilian Kreuzer, giving accounts of his scientific legacy and original articles from renowned theoretical physicists and mathematicians, including Victor Batyrev, Philip Candelas, Michael Douglas, Alexei Morozov, Joseph Polchinski, Peter van Nieuwenhuizen, and Peter West. Besides a collection of review and research articles from high-profile researchers in string theory and related fields of mathematics (in particular, algebraic geometry) which discuss recent progress in the exploration of string theory vacua and corresponding mathematical developments, this book contains a pedagogical account of the important work of Brandt, Dragon, and Kreuzer on classification of anomalies in gauge theories. This highly cited work, which is also quoted in the textbook of Steven Weinberg on quantum field theory, has not yet been presented in full detail except in private lecture notes by Norbert Dragon. Similarly, the software package PALP (Package for Analyzing Lattice Polytopes with applications to toric geometry), which has been incorporated in the SAGE (Software for Algebra and Geometry Experimentation) project, has not yet been documented in full detail. This book contains a user manual for a new thoroughly revised version of PALP. By including these two very useful original contributions, researchers in quantum field theory, string theory, and mathematics will find added value in a pedagogical presentation of the classification of quantum gauge field anomalies, and the accompanying comprehensive manual and tutorial for the powerful software package PALP.
Book Synopsis Groups and Analysis by : Katrin Tent
Download or read book Groups and Analysis written by Katrin Tent and published by Cambridge University Press. This book was released on 2008-10-16 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many areas of mathematics were deeply influenced or even founded by Hermann Weyl, including geometric foundations of manifolds and physics, topological groups, Lie groups and representation theory, harmonic analysis and analytic number theory as well as foundations of mathematics. In this volume, leading experts present his lasting influence on current mathematics, often connecting Weyl's theorems with cutting edge research in dynamical systems, invariant theory, and partial differential equations. In a broad and accessible presentation, survey chapters describe the historical development of each area alongside up-to-the-minute results, focussing on the mathematical roots evident within Weyl's work.
Book Synopsis Strings, Gauge Fields, and the Geometry Behind by : Anton Rebhan
Download or read book Strings, Gauge Fields, and the Geometry Behind written by Anton Rebhan and published by World Scientific. This book was released on 2012-10-30 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains exclusively invited contributions from collaborators of Maximilian Kreuzer, giving accounts of his scientific legacy and original articles from renowned theoretical physicists and mathematicians, including Victor Batyrev, Philip Candelas, Michael Douglas, Alexei Morozov, Joseph Polchinski, Peter van Nieuwenhuizen, and Peter West. Besides a collection of review and research articles from high-profile researchers in string theory and related fields of mathematics (in particular, algebraic geometry) which discuss recent progress in the exploration of string theory vacua and corresponding mathematical developments, this book contains a pedagogical account of the important work of Brandt, Dragon, and Kreuzer on classification of anomalies in gauge theories. This highly cited work, which is also quoted in the textbook of Steven Weinberg on quantum field theory, has not yet been presented in full detail except in private lecture notes by Norbert Dragon. Similarly, the software package PALP (Package for Analyzing Lattice Polytopes with applications to toric geometry), which has been incorporated in the SAGE (Software for Algebra and Geometry Experimentation) project, has not yet been documented in full detail. This book contains a user manual for a new thoroughly revised version of PALP. By including these two very useful original contributions, researchers in quantum field theory, string theory, and mathematics will find added value in a pedagogical presentation of the classification of quantum gauge field anomalies, and the accompanying comprehensive manual and tutorial for the powerful software package PALP. Contents:Gauge Field Theory, Anomalies, and Supersymmetry:BRST Symmetry and Cohomology (N Dragon and F Brandt)Aspects of Supersymmetric BRST Cohomology (F Brandt)Character Expansion for HOMFLY Polynomials: Integrability and Difference Equations (A Mironov, A Morozov and A Morozov)Bicategories in Field Theories — An Invitation (T Nikolaus and C Schweigert)The Compactification of IIB Supergravity on S5 Revisited (P van Nieuwenhuizen)String Theory and Algebraic Geometry:Max Kreuzer's Contributions to the Study of Calabi–Yau Manifolds (P Candelas)Calabi–Yau Three-Folds: Poincaré Polynomials and Fractals (A Ashmore and Y-H He)Conifold Degenerations of Fano 3-Folds as Hypersurfaces in Toric Varieties (V Batyrev and M Kreuzer)Nonassociativity in String Theory (R Blumenhagen)Counting Points and Hilbert Series in String Theory (V Braun)Standard Models and Calabi–Yaus (R Donagi)The String Landscape and Low Energy Supersymmetry (M R Douglas)The Cardy–Cartan Modular Invariant (J Fuchs, C Schweigert and C Stigner)A Projection to the Pure Spinor Space (S Guttenberg)Mathieu Moonshine and Symmetries of K3 Sigma Models (S Hohenegger)Toric Deligne–Mumford Stacks and the Better Behaved Version of the GKZ Hypergeometric System (R P Horja)Fano Polytopes (A M Kasprzyk and B Nill)Dual Purpose Landscaping Tools: Small Extra Dimensions in AdS/CFT (J Polchinski and E Silverstein)Notes on the Relation Between Strings, Integrable Models and Gauge Theories (R C Rashkov)E11, Generalised Space-Time and IIA String Theory: The R ⊗ R Sector (A Rocén and P West)The Kreuzer Bi-Homomorphism (A N Schellekens)Emergent Spacetime and Black Hole Probes from Automorphic Forms (R Schimmrigk)How to Classify Reflexive Gorenstein Cones (H Skarke)PALP — A Package for Analyzing Lattice Polytopes:PALP — A User Manual (A P Braun, J Knapp, E Scheidegger, H Skarke and N-O Walliser) Readership: Graduate students and researchers in theoretical physics and mathematics. Keywords:String Theory;Gauge Theory;Algebraic Geometry;CalabiâYau Manifolds;Toric Geometry;Lattice Polytopes;BRST Symmetry;Cohomology;Anomalies;SupersymmetryKey Features:Original research articles contributed by prominent theoretical physicists and mathematicians (Victor Batyrev, Ralph Blumenhagen, Ron Donagi, Michael Douglas, Jürgen Fuchs, Alexei Morozov, Joseph Polchinski, Bert Schellekens, Christoph Schweigert, Eva Silverstein, Peter van Nieuwenhuizen, and Peter West, among others)Previously unpublished lecture notes on the classification of quantum gauge field anomalies by Friedemann Brandt and Norbert DragonA comprehensive manual and tutorial for the powerful software package PALP that was developed originally by Kreuzer and Skarke in connection with the classification of reflexive polytopes. Together with the publication of this memorial volume an overhauled version 2.1 of PALP will be released in the public domain
Book Synopsis Topology, Geometry and Quantum Field Theory by : Ulrike Luise Tillmann
Download or read book Topology, Geometry and Quantum Field Theory written by Ulrike Luise Tillmann and published by Cambridge University Press. This book was released on 2004-06-28 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: The symposium held in honour of the 60th birthday of Graeme Segal brought together leading physicists and mathematicians. Its topics were centred around string theory, M-theory, and quantum gravity on the one hand, and K-theory, elliptic cohomology, quantum cohomology and string topology on the other. Geometry and quantum physics developed in parallel since the recognition of the central role of non-abelian gauge theory in elementary particle physics in the late seventies and the emerging study of super-symmetry and string theory. With its selection of survey and research articles these proceedings fulfil the dual role of reporting on developments in the field and defining directions for future research. For the first time Graeme Segal's manuscript 'The definition of Conformal Field Theory' is published, which has been greatly influential over more than ten years. An introduction by the author puts it into the present context.
Book Synopsis Quantum Field Theory by : Mark Srednicki
Download or read book Quantum Field Theory written by Mark Srednicki and published by Cambridge University Press. This book was released on 2007-01-25 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum field theory is the basic mathematical framework that is used to describe elementary particles. This textbook provides a complete and essential introduction to the subject. Assuming only an undergraduate knowledge of quantum mechanics and special relativity, this book is ideal for graduate students beginning the study of elementary particles. The step-by-step presentation begins with basic concepts illustrated by simple examples, and proceeds through historically important results to thorough treatments of modern topics such as the renormalization group, spinor-helicity methods for quark and gluon scattering, magnetic monopoles, instantons, supersymmetry, and the unification of forces. The book is written in a modular format, with each chapter as self-contained as possible, and with the necessary prerequisite material clearly identified. It is based on a year-long course given by the author and contains extensive problems, with password protected solutions available to lecturers at www.cambridge.org/9780521864497.
Book Synopsis Lévy Processes in Lie Groups by : Ming Liao
Download or read book Lévy Processes in Lie Groups written by Ming Liao and published by Cambridge University Press. This book was released on 2004-05-10 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Up-to-the minute research on important stochastic processes.
Book Synopsis "Moonshine" of Finite Groups by : Koichiro Harada
Download or read book "Moonshine" of Finite Groups written by Koichiro Harada and published by European Mathematical Society. This book was released on 2010 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an almost verbatim reproduction of the author's lecture notes written in 1983-84 at Ohio State University, Columbus. A substantial update is given in the bibliography. Over the last 20 plus years there has been energetic activity in the field of finite simple group theory related to the monster simple group. Most notably, influential works have been produced in the theory of vertex operator algebras from research that was stimulated by the moonshine of the finite groups. Still, we can ask the same questions now that we did 30-40 years ago: What is the monster simple group? Is it really related to the theory of the universe as it was vaguely so envisioned? What lies behind the moonshine phenomena of the monster group? It may appear that we have only scratched the surface. These notes are primarily reproduced for the benefit of readers who wish to start learning about modular functions used in moonshine.
Book Synopsis Scattering Amplitudes in Gauge Theory and Gravity by : Henriette Elvang
Download or read book Scattering Amplitudes in Gauge Theory and Gravity written by Henriette Elvang and published by Cambridge University Press. This book was released on 2015-02-05 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive, pedagogical introduction to scattering amplitudes in gauge theory and gravity for graduate students.
