Moonshine - The First Quarter Century and Beyond

Moonshine - The First Quarter Century and Beyond
Author: James Lepowsky
Publisher: Cambridge University Press
Total Pages: 415
Release: 2010-06-03
Genre: Mathematics
ISBN: 0521106648

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This volume examines the impact of the 'Monstrous Moonshine' paper on mathematics and theoretical physics.

Modern Moonshine

Modern Moonshine
Author: Cameron D. Lippard
Publisher:
Total Pages: 252
Release: 2019
Genre: Business & Economics
ISBN: 9781946684820

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The craft of making moonshine--an unaged white whiskey, often made and consumed outside legal parameters--nearly went extinct in the late twentieth century as law enforcement cracked down on illicit producers, and cheaper, lawful alcohol became readily available. Yet the twenty-first century has witnessed a resurgence of artisanal distilling, as both connoisseurs and those reconnecting with their heritage have created a vibrant new culture of moonshine. While not limited to Appalachia, moonshine is often entwined with the region in popular understandings. The first interdisciplinary examination of the legal moonshine industry, Modern Moonshine probes the causes and impact of the so-called moonshine revival. What does the moonshine revival tell us about our national culture? How does it shape the image of Appalachia and rural America? Focusing mostly on southern Appalachia, the book's eleven essays chronicle such popular figures as Popcorn Sutton and explore how and why distillers promote their product as "traditional" and "authentic." This edited collection draws from scholars across the disciplines of anthropology, history, geography, and sociology to make sense of the legal, social, and historical shifts behind contemporary production and consumption of moonshine, and offers a fresh perspective on an enduring topic of Appalachian myth and reality.

Modern Moonshine

Modern Moonshine
Author: Cameron D. Lippard
Publisher:
Total Pages:
Release: 2019
Genre: Appalachian Region
ISBN: 9781946684837

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Beyond Hyperbolicity

Beyond Hyperbolicity
Author: Mark Hagen
Publisher: Cambridge University Press
Total Pages: 242
Release: 2019-07-11
Genre: Mathematics
ISBN: 1108577350

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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.

A First Course in the Sporadic SICs

A First Course in the Sporadic SICs
Author: Blake C. Stacey
Publisher: Springer Nature
Total Pages: 119
Release: 2021-05-31
Genre: Science
ISBN: 3030761045

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This book focuses on the Symmetric Informationally Complete quantum measurements (SICs) in dimensions 2 and 3, along with one set of SICs in dimension 8. These objects stand out in ways that have earned them the moniker of "sporadic SICs". By some standards, they are more approachable than the other known SICs, while by others they are simply atypical. The author forays into quantum information theory using them as examples, and the author explores their connections with other exceptional objects like the Leech lattice and integral octonions. The sporadic SICs take readers from the classification of finite simple groups to Bell's theorem and the discovery that "hidden variables" cannot explain away quantum uncertainty. While no one department teaches every subject to which the sporadic SICs pertain, the topic is approachable without too much background knowledge. The book includes exercises suitable for an elective at the graduate or advanced undergraduate level.

Advances in Lie Superalgebras

Advances in Lie Superalgebras
Author: Maria Gorelik
Publisher: Springer Science & Business
Total Pages: 281
Release: 2014-04-28
Genre: Mathematics
ISBN: 3319029525

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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

Automorphic Forms
Author: Bernhard Heim
Publisher: Springer
Total Pages: 250
Release: 2014-11-19
Genre: Mathematics
ISBN: 3319113526

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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

The Calabi–Yau Landscape
Author: Yang-Hui He
Publisher: Springer Nature
Total Pages: 214
Release: 2021-07-31
Genre: Mathematics
ISBN: 3030775623

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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

Torsors, Étale Homotopy and Applications to Rational Points
Author: Alexei Skorobogatov
Publisher: Cambridge University Press
Total Pages: 470
Release: 2013-04-18
Genre: Mathematics
ISBN: 1107616123

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Lecture notes and research articles on the use of torsors and étale homotopy in algebraic and arithmetic geometry.

Computational Cryptography

Computational Cryptography
Author: Joppe Bos
Publisher:
Total Pages: 402
Release: 2021-12-09
Genre: Language Arts & Disciplines
ISBN: 1108848427

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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.