Fields Institute Communications
Volume: 54; 2008; 297 pp; Hardcover
MSC: Primary 11; 14; 33; 81;
Print ISBN: 978-0-8218-4484-7
Product Code: FIC/54
List Price: $118.00
Individual Member Price: $94.40
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Modular Forms and String DualityShare this page
Edited by Noriko Yui; Helena Verrill; Charles F. Doran
A co-publication of the AMS and Fields Institute
Modular forms have long played a key role in the theory of numbers,
including most famously the proof of Fermat's Last Theorem. Through
its quest to unify the spectacularly successful theories of quantum
mechanics and general relativity, string theory has long suggested
deep connections between branches of mathematics such as topology,
geometry, representation theory, and combinatorics. Less well-known
are the emerging connections between string theory and number
theory. This was indeed the subject of the workshop Modular Forms and
String Duality held at the Banff International Research Station
(BIRS), June 3–8, 2006. Mathematicians and physicists alike
converged on the Banff Station for a week of both introductory
lectures, designed to educate one another in relevant aspects of their
subjects, and research talks at the cutting edge of this rapidly
This book is a testimony to the BIRS Workshop, and it covers a wide range of topics at the interface of number theory and string theory, with special emphasis on modular forms and string duality. They include the recent advances as well as introductory expositions on various aspects of modular forms, motives, differential equations, conformal field theory, topological strings and Gromov–Witten invariants, mirror symmetry, and homological mirror symmetry. The contributions are roughly divided into three categories: arithmetic and modular forms, geometric and differential equations, and physics and string theory.
The book is suitable for researchers working at the interface of number theory and string theory.
Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).
Table of Contents
Table of Contents
Modular Forms and String Duality
Graduate students and research mathematicians interested in number theory and physics.