Moonshine - The First Quarter Century and Beyond

Proceedings of a Workshop on the Moonshine Conjectures and Vertex Algebras

AvJames Lepowsky,John McKay

Häftad, Engelska, 2010

Del 372 i serien London Mathematical Society Lecture Note Series

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Beskrivning

The theory of 'Monstrous Moonshine' has been a major development in mathematics since 1979. Beginning with remarkable conjectures relating finite group theory and number theory that stimulated an outpouring of new ideas, 'Monstrous Moonshine' deeply involves many different areas of mathematics, as well as string theory and conformal field theory in physics. It has changed the landscape of many fields. This volume consists of 17 papers by research leaders, based on talks presented at a workshop held to mark the anniversary of the 'Monstrous Moonshine' conjectures. The papers, which include surveys of many important developments, will give the reader a view of a wide range of current activity and promising directions for future research.

Produktinformation

Utgivningsdatum:2010-06-03
Mått:152 x 229 x 24 mm
Vikt:610 g
Format:Häftad
Språk:Engelska
Serie:London Mathematical Society Lecture Note Series
Antal sidor:416
Förlag:Cambridge University Press
ISBN:9780521106641

Utforska kategorier

Algebra inom Naturvetenskap och teknik
Matematisk fysik inom Naturvetenskap och teknik

Mer om författaren

James Lepowsky is Professor in the Department of Mathematics at Rutgers University, New Jersey. John McKay is Professor in the Department of Mathematics and Statistics at Concordia University, Montréal. Michael P. Tuite is a Senior Lecturer in the Department of Applied Mathematics at the National University of Ireland (NUI), Galway.

Innehållsförteckning

Preface; Schedule of talks; 1. Characters of crossed modules and premodular categories Peter Bantay; 2. On the injectivity of the Kudla–Millson lift and surjectivity of the Borcherds lift Jan Hendrik Bruinier and Jens Funke; 3. Ordered spanning sets for vertex operator algebras and their modules Geoffrey Buhl; 4. Friendly giant meets pointlike instantons? On a new conjecture by John McKay Anda Degeratu and Katrin Wendland; 5. Modularity of trace functions in orbifold theory for Z-graded vertex operator superalgebras Chongying Dong and Zhongping Zhao; 6. Twisted modules for vertex operator algebras Benjamin Doyon; 7. Vertex operators and sporadic groups John F. Duncan; 8. The algebraic meaning of being a Hauptmodul Terry Gannon; 9. Borcherds' proof of the Conway–Norton conjecture Elizabeth Jurisich; 10. On the connection of certain Lie algebras with vertex algebras Haisheng Li; 11. Vertex operators and arithmetic: how a single photon illuminates number theory Geoffrey Mason; 12. Rational vertex operator algebras and their orbifolds Geoffrey Mason; 13. Quasi-finite algebras graded by Hamiltonian and vertex operator algebras Atushi Matsuo, Kiyokazu Nagatomo and Akihiro Tsuchiya; 14. On certain automorphic forms associated to rational vertex operator algebras Antun Milas; 15. Moonshine and group cohomology Charles B. Thomas; 16. Monstrous and generalized Moonshine and permutation orbifolds Michael P. Tuite; 17. New computations in the Monster Robert A. Wilson.