String Math 2012

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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 : 55,5 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 : 55,9 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.

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 : 44,8 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.

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 : 370 pages
File Size : 44,9 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 2011

Jonathan Block
String Math 2011 Book PDF

Author : Jonathan Block
Publisher : American Mathematical Soc.
Page : 506 pages
File Size : 46,8 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.

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 : 40,5 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.

Nine Mathematical Challenges: An Elucidation

A. Kechris,N. Makarov,D. Ramakrishnan,X. Zhu
Nine Mathematical Challenges An Elucidation Book PDF

Author : A. Kechris,N. Makarov,D. Ramakrishnan,X. Zhu
Publisher : American Mathematical Soc.
Page : 221 pages
File Size : 46,7 Mb
Release : 2021-09-24
Category : Education
ISBN : 9781470454906

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Nine Mathematical Challenges: An Elucidation by A. Kechris,N. Makarov,D. Ramakrishnan,X. Zhu Pdf

This volume stems from the Linde Hall Inaugural Math Symposium, held from February 22–24, 2019, at California Institute of Technology, Pasadena, California. The content isolates and discusses nine mathematical problems, or sets of problems, in a deep way, but starting from scratch. Included among them are the well-known problems of the classification of finite groups, the Navier-Stokes equations, the Birch and Swinnerton-Dyer conjecture, and the continuum hypothesis. The other five problems, also of substantial importance, concern the Lieb–Thirring inequalities, the equidistribution problems in number theory, surface bundles, ramification in covers and curves, and the gap and type problems in Fourier analysis. The problems are explained succinctly, with a discussion of what is known and an elucidation of the outstanding issues. An attempt is made to appeal to a wide audience, both in terms of the field of expertise and the level of the reader.

Representations of Reductive Groups

Avraham Aizenbud,Dmitry Gourevitch,David Kazhdan,Erez M. Lapid
Representations of Reductive Groups Book PDF

Author : Avraham Aizenbud,Dmitry Gourevitch,David Kazhdan,Erez M. Lapid
Publisher : American Mathematical Soc.
Page : 450 pages
File Size : 47,7 Mb
Release : 2019-02-20
Category : Representations of algebras
ISBN : 9781470442842

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Representations of Reductive Groups by Avraham Aizenbud,Dmitry Gourevitch,David Kazhdan,Erez M. Lapid Pdf

This volume contains the proceedings of the Conference on Representation Theory and Algebraic Geometry, held in honor of Joseph Bernstein, from June 11–16, 2017, at the Weizmann Institute of Science and The Hebrew University of Jerusalem. The topics reflect the decisive and diverse impact of Bernstein on representation theory in its broadest scope. The themes include representations of p -adic groups and Hecke algebras in all characteristics, representations of real groups and supergroups, theta correspondence, and automorphic forms.

Topological Recursion and its Influence in Analysis, Geometry, and Topology

Chiu-Chu Melissa Liu,Motohico Mulase
Topological Recursion and its Influence in Analysis Geometry and Topology Book PDF

Author : Chiu-Chu Melissa Liu,Motohico Mulase
Publisher : American Mathematical Soc.
Page : 549 pages
File Size : 41,8 Mb
Release : 2018-11-19
Category : Topology
ISBN : 9781470435417

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Topological Recursion and its Influence in Analysis, Geometry, and Topology by Chiu-Chu Melissa Liu,Motohico Mulase Pdf

This volume contains the proceedings of the 2016 AMS von Neumann Symposium on Topological Recursion and its Influence in Analysis, Geometry, and Topology, which was held from July 4–8, 2016, at the Hilton Charlotte University Place, Charlotte, North Carolina. The papers contained in the volume present a snapshot of rapid and rich developments in the emerging research field known as topological recursion. It has its origin around 2004 in random matrix theory and also in Mirzakhani's work on the volume of moduli spaces of hyperbolic surfaces. Topological recursion has played a fundamental role in connecting seemingly unrelated areas of mathematics such as matrix models, enumeration of Hurwitz numbers and Grothendieck's dessins d'enfants, Gromov-Witten invariants, the A-polynomials and colored polynomial invariants of knots, WKB analysis, and quantization of Hitchin moduli spaces. In addition to establishing these topics, the volume includes survey papers on the most recent key accomplishments: discovery of the unexpected relation to semi-simple cohomological field theories and a solution to the remodeling conjecture. It also provides a glimpse into the future research direction; for example, connections with the Airy structures, modular functors, Hurwitz-Frobenius manifolds, and ELSV-type formulas.

Integrability, Quantization, and Geometry: II. Quantum Theories and Algebraic Geometry

Sergey Novikov,Igor Krichever,Oleg Ogievetsky,Senya Shlosman
Integrability Quantization and Geometry II Quantum Theories and Algebraic Geometry Book PDF

Author : Sergey Novikov,Igor Krichever,Oleg Ogievetsky,Senya Shlosman
Publisher : American Mathematical Soc.
Page : 480 pages
File Size : 41,9 Mb
Release : 2021-04-12
Category : Education
ISBN : 9781470455927

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Integrability, Quantization, and Geometry: II. Quantum Theories and Algebraic Geometry by Sergey Novikov,Igor Krichever,Oleg Ogievetsky,Senya Shlosman Pdf

This book is a collection of articles written in memory of Boris Dubrovin (1950–2019). The authors express their admiration for his remarkable personality and for the contributions he made to mathematical physics. For many of the authors, Dubrovin was a friend, colleague, inspiring mentor, and teacher. The contributions to this collection of papers are split into two parts: “Integrable Systems” and “Quantum Theories and Algebraic Geometry”, reflecting the areas of main scientific interests of Dubrovin. Chronologically, these interests may be divided into several parts: integrable systems, integrable systems of hydrodynamic type, WDVV equations (Frobenius manifolds), isomonodromy equations (flat connections), and quantum cohomology. The articles included in the first part are more or less directly devoted to these areas (primarily with the first three listed above). The second part contains articles on quantum theories and algebraic geometry and is less directly connected with Dubrovin's early interests.

String Figures as Mathematics?

Eric Vandendriessche
String Figures as Mathematics Book PDF

Author : Eric Vandendriessche
Publisher : Springer
Page : 392 pages
File Size : 53,7 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.

Eisenstein Series and Automorphic Representations

Philipp Fleig,Henrik P. A. Gustafsson,Axel Kleinschmidt,Daniel Persson
Eisenstein Series and Automorphic Representations Book PDF

Author : Philipp Fleig,Henrik P. A. Gustafsson,Axel Kleinschmidt,Daniel Persson
Publisher : Cambridge Studies in Advanced
Page : 587 pages
File Size : 44,6 Mb
Release : 2018-07-05
Category : Mathematics
ISBN : 9781107189928

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Eisenstein Series and Automorphic Representations by Philipp Fleig,Henrik P. A. Gustafsson,Axel Kleinschmidt,Daniel Persson Pdf

Detailed exposition of automorphic representations and their relation to string theory, for mathematicians and theoretical physicists.

Algebraic Geometry: Salt Lake City 2015 (Part 1)

Tommaso de Fernex,Brendan Hassett,Mircea Mustaţă,Martin Olsson,Mihnea Popa,Richard Thomas
Algebraic Geometry Salt Lake City 2015 Part 1 Book PDF

Author : Tommaso de Fernex,Brendan Hassett,Mircea Mustaţă,Martin Olsson,Mihnea Popa,Richard Thomas
Publisher : American Mathematical Soc.
Page : 655 pages
File Size : 45,6 Mb
Release : 2018-06-01
Category : Geometry, Algebraic
ISBN : 9781470435776

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Algebraic Geometry: Salt Lake City 2015 (Part 1) by Tommaso de Fernex,Brendan Hassett,Mircea Mustaţă,Martin Olsson,Mihnea Popa,Richard Thomas Pdf

This is Part 1 of a two-volume set. Since Oscar Zariski organized a meeting in 1954, there has been a major algebraic geometry meeting every decade: Woods Hole (1964), Arcata (1974), Bowdoin (1985), Santa Cruz (1995), and Seattle (2005). The American Mathematical Society has supported these summer institutes for over 50 years. Their proceedings volumes have been extremely influential, summarizing the state of algebraic geometry at the time and pointing to future developments. The most recent Summer Institute in Algebraic Geometry was held July 2015 at the University of Utah in Salt Lake City, sponsored by the AMS with the collaboration of the Clay Mathematics Institute. This volume includes surveys growing out of plenary lectures and seminar talks during the meeting. Some present a broad overview of their topics, while others develop a distinctive perspective on an emerging topic. Topics span both complex algebraic geometry and arithmetic questions, specifically, analytic techniques, enumerative geometry, moduli theory, derived categories, birational geometry, tropical geometry, Diophantine questions, geometric representation theory, characteristic and -adic tools, etc. The resulting articles will be important references in these areas for years to come.

Modern Geometry: A Celebration of the Work of Simon Donaldson

Vicente Muñoz,Ivan Smith,Richard P. Thomas
Modern Geometry A Celebration of the Work of Simon Donaldson Book PDF

Author : Vicente Muñoz,Ivan Smith,Richard P. Thomas
Publisher : American Mathematical Soc.
Page : 416 pages
File Size : 50,6 Mb
Release : 2018-09-05
Category : Four-manifolds (Topology)
ISBN : 9781470440947

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Modern Geometry: A Celebration of the Work of Simon Donaldson by Vicente Muñoz,Ivan Smith,Richard P. Thomas Pdf

This book contains a collection of survey articles of exciting new developments in geometry, written in tribute to Simon Donaldson to celebrate his 60th birthday. Reflecting the wide range of Donaldson's interests and influence, the papers range from algebraic geometry and topology through symplectic geometry and geometric analysis to mathematical physics. Their expository nature means the book acts as an invitation to the various topics described, while also giving a sense of the links between these different areas and the unity of modern geometry.

Algebraic Groups: Structure and Actions

Mahir Bilen Can
Algebraic Groups Structure and Actions Book PDF

Author : Mahir Bilen Can
Publisher : American Mathematical Soc.
Page : 294 pages
File Size : 45,8 Mb
Release : 2017-04-06
Category : Algebraic geometry -- Algebraic groups -- Group schemes
ISBN : 9781470426019

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Algebraic Groups: Structure and Actions by Mahir Bilen Can Pdf

This volume contains the proceedings of the 2015 Clifford Lectures on Algebraic Groups: Structures and Actions, held from March 2–5, 2015, at Tulane University, New Orleans, Louisiana. This volume consists of six articles on algebraic groups, including an enhanced exposition of the classical results of Chevalley and Rosenlicht on the structure of algebraic groups; an enhanced survey of the recently developed theory of pseudo-reductive groups; and an exposition of the recently developed operational -theory for singular varieties. In addition, there are three research articles containing previously unpublished foundational results on birational automorphism groups of algebraic varieties; solution of Hermite-Joubert problem over -closed fields; and cohomological invariants and applications to classifying spaces. The old and new results presented in these articles will hopefully become cornerstones for the future development of the theory of algebraic groups and applications. Graduate students and researchers working in the fields of algebraic geometry, number theory, and representation theory will benefit from this unique and broad compilation of fundamental results on algebraic group theory.