Moonshine : the first quarter century and beyond : proceedings of a workshop on the moonshine conjectures and vertex algebras / edited by James Lepowsky, John McKay, Michael P. Tuite.

Format:

Book

Contributor:

Lepowsky, J. (James), editor.

McKay, John, 1939-2022, editor.

Tuite, Michael P., editor.

Series:

London Mathematical Society lecture note series ; 372.

London Mathematical Society lecture note series ; 372

Language:

English

Subjects (All):

Modular functions--Congresses.

Modular functions.

Group theory--Congresses.

Group theory.

Physical Description:

1 online resource (xii, 403 pages) : digital, PDF file(s).

Other Title:

Moonshine - The First Quarter Century & Beyond

Place of Publication:

Cambridge : Cambridge University Press, 2010.

Language Note:

English

Summary:

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.

Contents:

Characters of crossed modules and premodular categories / Peter Bantay

On the injectivity of the Kudla-Millson life and surjectivity of the Borcherds lift / Jan Hendrik Bruinier and Jens Funke

Ordered spanning sets for vertex operator algebras and their modules / Geoffrey Buhl

Friendly giant meets pointlike instantons? On a new conjecture by John McKay / Anda Degeratu and Katrin Wendland

Modularity of trace functions in orbifold theory for Z-graded vertex operator superalgebras / Chongying Dong and Zhongping Zhao

Twisted modules for vertex operator algebras / Benjamin Doyon

Vertex operators and sporadic groups / John F. Duncan

The algebraic meaning of being a Hauptmodul / Terry Gannon

Borcherds' proof of the Conway-Norton conjecture / Elizabeth Jurisich

On the connection of certain lie algebras with vertex algebras / Haisheng Li

Vertex operators and arithmetic : how a single photon illuminates number theory / Geoffrey Mason

Rational vertex operator algebras and their orbifolds / Geoffrey Mason

Quasi-finite algebras graded by Hamiltonian and vertex operator algebras / Atsushi Matsuo, Kiyokazu Nagatomo and Akihiro Tsuchiya

On certain automorphic forms associated to rational vertex operator algebras / Antun Milas

Moonshine and group cohomology / C.B. Thomas

Monstrous and generalized moonshine and permutation orbifolds / Michael P. Tuite

New computations in the monster / Robert A. Wilson.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

ISBN:

1-107-20253-1

1-282-63041-5

9786612630415

0-511-72822-0

0-511-72727-5

0-511-72917-0

0-511-72587-6

0-511-73005-5

0-511-72446-2

OCLC:

649910898