The conference String-Math 2014 was held from June 9β13, 2014, at the University of Alberta. This edition of String-Math is the first to include satellite workshops: βString-Math Summer Schoolβ (held from June 2β6, 2014, at the University of British Columbia), βCalabi-Yau Manifolds and their Moduliβ (held from June 14β18, 2014, at the University of Alberta), and βQuantum Curves and Quantum Knot Invariantsβ (held from June 16β20, 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.