The conference String-Math 2014 was held from June 9โ13, 2014, at the University of Alberta. This edition of String-Math is the first to include satellite workshops: โString-Math Summer Schoolโ (held from June 2โ6, 2014, at the University of British Columbia), โCalabi-Yau Manifolds and their Moduliโ (held from June 14โ18, 2014, at the University of Alberta), and โQuantum Curves and Quantum Knot Invariantsโ (held from June 16โ20, 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.