String Math 2011

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String-Math 2011

Jonathan Block
String Math 2011 Book PDF

Author : Jonathan Block
Publisher : American Mathematical Soc.
Page : 506 pages
File Size : 51,8 Mb
Release : 2012
Category : Mathematics
ISBN : 9780821872956

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String-Math 2011 by Jonathan Block Pdf

The nature of interactions between mathematicians and physicists has been thoroughly transformed in recent years. String theory and quantum field theory have contributed a series of profound ideas that gave rise to entirely new mathematical fields and revitalized older ones. The influence flows in both directions, with mathematical techniques and ideas contributing crucially to major advances in string theory. A large and rapidly growing number of both mathematicians and physicists are working at the string-theoretic interface between the two academic fields. The String-Math conference series aims to bring together leading mathematicians and mathematically minded physicists working in this interface. This volume contains the proceedings of the inaugural conference in this series, String-Math 2011, which was held June 6-11, 2011, at the University of Pennsylvania.

String-Math 2014

Vincent Bouchard:,Charles Doran,Stefan Méndez-Diez,Callum Quigley
String Math 2014 Book PDF

Author : Vincent Bouchard:,Charles Doran,Stefan Méndez-Diez,Callum Quigley
Publisher : American Mathematical Soc.
Page : 396 pages
File Size : 41,5 Mb
Release : 2016-06-10
Category : $K$-theory
ISBN : 9781470419929

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String-Math 2014 by Vincent Bouchard:,Charles Doran,Stefan Méndez-Diez,Callum Quigley Pdf

The conference String-Math 2014 was held from June 9–13, 2014, at the University of Alberta. This edition of String-Math is the first to include satellite workshops: “String-Math Summer School” (held from June 2–6, 2014, at the University of British Columbia), “Calabi-Yau Manifolds and their Moduli” (held from June 14–18, 2014, at the University of Alberta), and “Quantum Curves and Quantum Knot Invariants” (held from June 16–20, 2014, at the Banff International Research Station). This volume presents the proceedings of the conference and satellite workshops. For mathematics, string theory has been a source of many significant inspirations, ranging from Seiberg-Witten theory in four-manifolds, to enumerative geometry and Gromov-Witten theory in algebraic geometry, to work on the Jones polynomial in knot theory, to recent progress in the geometric Langlands program and the development of derived algebraic geometry and n-category theory. In the other direction, mathematics has provided physicists with powerful tools, ranging from powerful differential geometric techniques for solving or analyzing key partial differential equations, to toric geometry, to K-theory and derived categories in D-branes, to the analysis of Calabi-Yau manifolds and string compactifications, to modular forms and other arithmetic techniques. Articles in this book address many of these topics.

A Mathematical Introduction to String Theory

Sergio Albeverio
A Mathematical Introduction to String Theory Book PDF

Author : Sergio Albeverio
Publisher : Cambridge University Press
Page : 148 pages
File Size : 53,5 Mb
Release : 1997-07-17
Category : Mathematics
ISBN : 0521556104

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A Mathematical Introduction to String Theory by Sergio Albeverio Pdf

This book deals with the mathematical aspects of string theory.

String-Math 2013

Ron Donagi, Michael R. Douglas,Ljudmila Kamenova,Martin Rocek
String Math 2013 Book PDF

Author : Ron Donagi, Michael R. Douglas,Ljudmila Kamenova,Martin Rocek
Publisher : American Mathematical Soc.
Page : 386 pages
File Size : 52,6 Mb
Release : 2014-12-02
Category : Mathematics
ISBN : 9781470410513

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String-Math 2013 by Ron Donagi, Michael R. Douglas,Ljudmila Kamenova,Martin Rocek Pdf

This volume contains the proceedings of the conference `String-Math 2013' which was held June 17-21, 2013 at the Simons Center for Geometry and Physics at Stony Brook University. This was the third in a series of annual meetings devoted to the interface of mathematics and string theory. Topics include the latest developments in supersymmetric and topological field theory, localization techniques, the mathematics of quantum field theory, superstring compactification and duality, scattering amplitudes and their relation to Hodge theory, mirror symmetry and two-dimensional conformal field theory, and many more. This book will be important reading for researchers and students in the area, and for all mathematicians and string theorists who want to update themselves on developments in the math-string interface.

String-Math 2012

Ron Donagi,Sheldon Katz,Albrecht Klemm,David R. Morrison
String Math 2012 Book PDF

Author : Ron Donagi,Sheldon Katz,Albrecht Klemm,David R. Morrison
Publisher : American Mathematical Soc.
Page : 340 pages
File Size : 52,5 Mb
Release : 2015-09-30
Category : Geometry, Algebraic
ISBN : 9780821894958

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String-Math 2012 by Ron Donagi,Sheldon Katz,Albrecht Klemm,David R. Morrison Pdf

This volume contains the proceedings of the conference String-Math 2012, which was held July 16-21, 2012, at the Hausdorff Center for Mathematics, Universität Bonn. This was the second in a series of annual large meetings devoted to the interface of mathematics and string theory. These meetings have rapidly become the flagship conferences in the field. Topics include super Riemann surfaces and their super moduli, generalized moonshine and K3 surfaces, the latest developments in supersymmetric and topological field theory, localization techniques, applications to knot theory, and many more. The contributors include many leaders in the field, such as Sergio Cecotti, Matthias Gaberdiel, Rahul Pandharipande, Albert Schwarz, Anne Taormina, Johannes Walcher, Katrin Wendland, and Edward Witten. This book will be essential reading for researchers and students in this area and for all mathematicians and string theorists who want to update themselves on developments in the math-string interface.

String-Math 2022

Ron Donagi,Adrian Langer,Piotr Sułkowski,Katrin Wendland
String Math 2022 Book PDF

Author : Ron Donagi,Adrian Langer,Piotr Sułkowski,Katrin Wendland
Publisher : American Mathematical Society
Page : 306 pages
File Size : 40,5 Mb
Release : 2024-04-18
Category : Mathematics
ISBN : 9781470472405

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String-Math 2022 by Ron Donagi,Adrian Langer,Piotr Sułkowski,Katrin Wendland Pdf

This is a proceedings volume from the String-Math conference which took place at the University of Warsaw in 2022. This 12th String-Math conference focused on several research areas actively developing these days. They included generalized (categorical) symmetries in quantum field theory and their relation to topological phases of matter; formal aspects of quantum field theory, in particular twisted holography; various developments in supersymmetric gauge theories, BPS counting and Donaldson–Thomas invariants. Other topics discussed at this conference included new advances in Gromov–Witten theory, curve counting, and Calabi–Yau manifolds. Another broad topic concerned algebraic aspects of conformal field theory, vertex operator algebras, and quantum groups. Furthermore, several other recent developments were presented during the conference, such as understanding the role of operator algebras in the presence of gravity, derivation of gauge-string duality, complexity of black holes, or mathematical aspects of the amplituhedron. This proceedings volume contains articles summarizing 14 conference lectures, devoted to the above topics.

Quantum Fields and Strings: A Course for Mathematicians

Pierre Deligne,Pavel Etingof,Daniel S. Freed,Lisa C. Jeffrey,David Kazhdan,John W. Morgan,David R. Morrison,Edward Witten
Quantum Fields and Strings A Course for Mathematicians Book PDF

Author : Pierre Deligne,Pavel Etingof,Daniel S. Freed,Lisa C. Jeffrey,David Kazhdan,John W. Morgan,David R. Morrison,Edward Witten
Publisher : American Mathematical Society
Page : 801 pages
File Size : 46,9 Mb
Release : 1999-10-25
Category : Mathematics
ISBN : 9780821820131

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Quantum Fields and Strings: A Course for Mathematicians by Pierre Deligne,Pavel Etingof,Daniel S. Freed,Lisa C. Jeffrey,David Kazhdan,John W. Morgan,David R. Morrison,Edward Witten Pdf

A run-away bestseller from the moment it hit the market in late 1999. This impressive, thick softcover offers mathematicians and mathematical physicists the opportunity to learn about the beautiful and difficult subjects of quantum field theory and string theory. Cover features an intriguing cartoon that will bring a smile to its intended audience.

The Shape of Inner Space

Shing-Tung Yau,Steven J. Nadis
The Shape of Inner Space Book PDF

Author : Shing-Tung Yau,Steven J. Nadis
Publisher : Il Saggiatore
Page : 398 pages
File Size : 53,5 Mb
Release : 2010-09-07
Category : Mathematics
ISBN : 9780465020232

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The Shape of Inner Space by Shing-Tung Yau,Steven J. Nadis Pdf

The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see. Illustrations.

String-Math 2015

Si Li,Bong H. Lian, Wei Song,Shing-Tung Yau
String Math 2015 Book PDF

Author : Si Li,Bong H. Lian, Wei Song,Shing-Tung Yau
Publisher : American Mathematical Soc.
Page : 297 pages
File Size : 52,6 Mb
Release : 2017-11-28
Category : Algebraic geometry -- Projective and enumerative geometry -- Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants
ISBN : 9781470429515

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String-Math 2015 by Si Li,Bong H. Lian, Wei Song,Shing-Tung Yau Pdf

This volume contains the proceedings of the conference String-Math 2015, which was held from December 31, 2015–January 4, 2016, at Tsinghua Sanya International Mathematics Forum in Sanya, China. Two of the main themes of this volume are frontier research on Calabi-Yau manifolds and mirror symmetry and the development of non-perturbative methods in supersymmetric gauge theories. The articles present state-of-the-art developments in these topics. String theory is a broad subject, which has profound connections with broad branches of modern mathematics. In the last decades, the prosperous interaction built upon the joint efforts from both mathematicians and physicists has given rise to marvelous deep results in supersymmetric gauge theory, topological string, M-theory and duality on the physics side, as well as in algebraic geometry, differential geometry, algebraic topology, representation theory and number theory on the mathematics side.

The Best Writing on Mathematics 2011

Mircea Pitici
The Best Writing on Mathematics 2011 Book PDF

Author : Mircea Pitici
Publisher : Princeton University Press
Page : 415 pages
File Size : 55,7 Mb
Release : 2012
Category : Mathematics
ISBN : 9780691153155

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The Best Writing on Mathematics 2011 by Mircea Pitici Pdf

The year's finest writing on mathematics from around the world This anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2011 makes available to a wide audience many articles not easily found anywhere else—and you don't need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today's hottest mathematical debates. Here Ian Hacking discusses the salient features that distinguish mathematics from other disciplines of the mind; Doris Schattschneider identifies some of the mathematical inspirations of M. C. Escher's art; Jordan Ellenberg describes compressed sensing, a mathematical field that is reshaping the way people use large sets of data; Erica Klarreich reports on the use of algorithms in the job market for doctors; and much, much more. In addition to presenting the year's most memorable writings on mathematics, this must-have anthology includes a foreword by esteemed physicist and mathematician Freeman Dyson. This book belongs on the shelf of anyone interested in where math has taken us—and where it is headed.

Not Even Wrong

Peter Woit
Not Even Wrong Book PDF

Author : Peter Woit
Publisher : Random House
Page : 306 pages
File Size : 40,7 Mb
Release : 2011-08-31
Category : Science
ISBN : 9781446443019

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Not Even Wrong by Peter Woit Pdf

Not Even Wrong is a fascinating exploration of our attempts to come to grips with perhaps the most intellectually demanding puzzle of all: how does the universe work at its most fundamnetal level? The book begins with an historical survey of the experimental and theoretical developments that led to the creation of the phenomenally successful 'Standard Model' of particle physics around 1975. Despite its successes, the Standard Model does not answer all the key questions and physicists continuing search for answers led to the development of superstring theory. However, after twenty years, superstring theory has failed to advance beyond the Standard Model. The absence of experimental evidence is at the core of this controversial situation which means that it is impossible to prove that superstring theory is either right or wrong. To date, only the arguments of the theory's advocates have received much publicity. Not Even Wrong provides readers with another side of the story.

The Little Book of String Theory

Steven S. Gubser
The Little Book of String Theory Book PDF

Author : Steven S. Gubser
Publisher : Princeton University Press
Page : 184 pages
File Size : 51,6 Mb
Release : 2010-02-08
Category : Science
ISBN : 9781400834433

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The Little Book of String Theory by Steven S. Gubser Pdf

The essential beginner's guide to string theory The Little Book of String Theory offers a short, accessible, and entertaining introduction to one of the most talked-about areas of physics today. String theory has been called the "theory of everything." It seeks to describe all the fundamental forces of nature. It encompasses gravity and quantum mechanics in one unifying theory. But it is unproven and fraught with controversy. After reading this book, you'll be able to draw your own conclusions about string theory. Steve Gubser begins by explaining Einstein's famous equation E = mc2, quantum mechanics, and black holes. He then gives readers a crash course in string theory and the core ideas behind it. In plain English and with a minimum of mathematics, Gubser covers strings, branes, string dualities, extra dimensions, curved spacetime, quantum fluctuations, symmetry, and supersymmetry. He describes efforts to link string theory to experimental physics and uses analogies that nonscientists can understand. How does Chopin's Fantasie-Impromptu relate to quantum mechanics? What would it be like to fall into a black hole? Why is dancing a waltz similar to contemplating a string duality? Find out in the pages of this book. The Little Book of String Theory is the essential, most up-to-date beginner's guide to this elegant, multidimensional field of physics.

Mirror Symmetry

Kentaro Hori
Mirror Symmetry Book PDF

Author : Kentaro Hori
Publisher : American Mathematical Soc.
Page : 954 pages
File Size : 44,8 Mb
Release : 2003
Category : Mathematics
ISBN : 9780821829554

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Mirror Symmetry by Kentaro Hori Pdf

This thorough and detailed exposition is the result of an intensive month-long course on mirror symmetry sponsored by the Clay Mathematics Institute. It develops mirror symmetry from both mathematical and physical perspectives with the aim of furthering interaction between the two fields. The material will be particularly useful for mathematicians and physicists who wish to advance their understanding across both disciplines. Mirror symmetry is a phenomenon arising in string theory in which two very different manifolds give rise to equivalent physics. Such a correspondence has significant mathematical consequences, the most familiar of which involves the enumeration of holomorphic curves inside complex manifolds by solving differential equations obtained from a ``mirror'' geometry. The inclusion of D-brane states in the equivalence has led to further conjectures involving calibrated submanifolds of the mirror pairs and new (conjectural) invariants of complex manifolds: the Gopakumar-Vafa invariants. This book gives a single, cohesive treatment of mirror symmetry. Parts 1 and 2 develop the necessary mathematical and physical background from ``scratch''. The treatment is focused, developing only the material most necessary for the task. In Parts 3 and 4 the physical and mathematical proofs of mirror symmetry are given. From the physics side, this means demonstrating that two different physical theories give isomorphic physics. Each physical theory can be described geometrically, and thus mirror symmetry gives rise to a ``pairing'' of geometries. The proof involves applying $R\leftrightarrow 1/R$ circle duality to the phases of the fields in the gauged linear sigma model. The mathematics proof develops Gromov-Witten theory in the algebraic setting, beginning with the moduli spaces of curves and maps, and uses localization techniques to show that certain hypergeometric functions encode the Gromov-Witten invariants in genus zero, as is predicted by mirror symmetry. Part 5 is devoted to advanced topi This one-of-a-kind book is suitable for graduate students and research mathematicians interested in mathematics and mathematical and theoretical physics.

String Figures as Mathematics?

Eric Vandendriessche
String Figures as Mathematics Book PDF

Author : Eric Vandendriessche
Publisher : Springer
Page : 392 pages
File Size : 47,8 Mb
Release : 2015-01-02
Category : Mathematics
ISBN : 9783319119946

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String Figures as Mathematics? by Eric Vandendriessche Pdf

This book addresses the mathematical rationality contained in the making of string figures. It does so by using interdisciplinary methods borrowed from anthropology, mathematics, history and philosophy of mathematics. The practice of string figure-making has long been carried out in many societies, and particularly in those of oral tradition. It consists in applying a succession of operations to a string (knotted into a loop), mostly using the fingers and sometimes the feet, the wrists or the mouth. This succession of operations is intended to generate a final figure. The book explores different modes of conceptualization of the practice of string figure-making and analyses various source material through these conceptual tools: it looks at research by mathematicians, as well as ethnographical publications, and personal fieldwork findings in the Chaco, Paraguay, and in the Trobriand Islands, Papua New Guinea, which all give evidence of the rationality that underlies this activity. It concludes that the creation of string figures may be seen as the result of intellectual processes, involving the elaboration of algorithms, and concepts such as operation, sub-procedure, iteration, and transformation.

Mathematical Foundations of Quantum Field Theory and Perturbative String Theory

Hisham Sati,Urs Schreiber
Mathematical Foundations of Quantum Field Theory and Perturbative String Theory Book PDF

Author : Hisham Sati,Urs Schreiber
Publisher : American Mathematical Soc.
Page : 370 pages
File Size : 52,6 Mb
Release : 2011-12-07
Category : Mathematics
ISBN : 9780821851951

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Mathematical Foundations of Quantum Field Theory and Perturbative String Theory by Hisham Sati,Urs Schreiber Pdf

Conceptual progress in fundamental theoretical physics is linked with the search for the suitable mathematical structures that model the physical systems. Quantum field theory (QFT) has proven to be a rich source of ideas for mathematics for a long time. However, fundamental questions such as ``What is a QFT?'' did not have satisfactory mathematical answers, especially on spaces with arbitrary topology, fundamental for the formulation of perturbative string theory. This book contains a collection of papers highlighting the mathematical foundations of QFT and its relevance to perturbative string theory as well as the deep techniques that have been emerging in the last few years. The papers are organized under three main chapters: Foundations for Quantum Field Theory, Quantization of Field Theories, and Two-Dimensional Quantum Field Theories. An introduction, written by the editors, provides an overview of the main underlying themes that bind together the papers in the volume.