String-Math 2014
Subtitle: June 9-13, 2014, University of Alberta, Alberta, Canada
By: Vincent Bouchard [and three others], editors
Contributors: Bouchard, Vincent, 1979- editor
Series: Proceedings of symposia in pure mathematics -- volume 93
Publisher: American Mathematical Society
Published: 2016
Place of publication: Providence, Rhode Island
Language: eng
Number of pages: 396
ISBN-13: 9781470419929
Subjects: Relativity and gravitational theory -- Unified, higher-dimensional and super field theories -- Unified, higher-dimensional and super field theories; Lie groups Topological groups; Algebraic Geometry; Relativity and gravitational theory -- Unified, higher-dimensional and super field theories -- String and superstring theories; Quantum theory; Category theory; homological algebra; $K$-theory; Congresses; Mathematics; Differential geometry; Quantum theory -- Quantum field theory; related classical field theories -- Quantum field theory; related classical field theories; Algebraic geometry; Global analysis, analysis on manifolds
Description: 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.
Notes: Includes bibliographical references and index.