عنوان

Modular forms and string duality /

0821844849

9780821844847

Modular forms and string duality /

[Book]

Noriko Yui, Helena Verrill, Charles F. Doran, editors.

Toronto, Ont. :

Fields Institute for Research in Mathematical Sciences,

©2008.

xvii, 297 pages :

illustrations ;

27 cm.

Fields Institute communications,

54

1069-5265 ;

Proceedings of a workshop held at the Banff International Research Station, June 3-8, 2006.

Includes bibliographical references.

Motives and mirror symmetry for Calabi-Yau orbifolds / Shabnam Kadir and Noriko Yui -- String modular motives of mirrors of rigid Calabi-Yau varieties / Savan Kharel, Monika Lynker and Rolf Schimmrigk -- Update on modular non-rigis Calabi-Yau threefolds / Edward Lee -- Finite index subgroups of the modular group and their modular forms / Ling Long -- Apery limits of differential equations of order 4 and 5 / Gert Almkvist, Duco van Straten and Wadim Zudilin -- Hypergeometric systems in two variables, quivers, dimers and dessins d'enfants / Jan Stienstra -- Some properties of hypergeometric series associated with mirror symmetry / Don Zagier and Aleksey Zinger -- Ramanujan-type formulae for 1/pi: a second wind? / Wadim Zudilin -- Meet homological mirror symmetry / Matthew Robert Ballard -- Orbifold Gromov-Witten invariants and topological strings / Vincent Bouchard -- Conformal field theory and mapping class groups / Terry Gannon -- SL(2, C) Chern-Simons theory and the asymptotic behavior of the colored Jones polynomial / Sergei Gukov and Hitoshi Murakami -- Open strings and extended mirror symmetry / Johannes Walcher.

0

"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."--Jacket.

Duality (Mathematics), Congresses.

Forms, Modular, Congresses.

Mirror symmetry, Congresses.

Number theory, Congresses.

Particles (Nuclear physics), Congresses.

String models, Congresses.

Forms, Modular.

Matematik.

Mirror symmetry.

Number theory.

Particles (Nuclear physics)

String models.

Doran, Charles F.,1971-

Verrill, Helena.

Yui, Noriko.

20200822135842.0

[Book]

Y