Moonshine - The First Quarter Century and Beyond (eBook, PDF)

Proceedings of a Workshop on the Moonshine Conjectures and Vertex Algebras
Redaktion: Lepowsky, James

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 3. Juni 2010
• Englisch
• ISBN-13: 9780511730610
• Artikelnr.: 56879369

Inhaltsangabe

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.