Moonshine : the first quarter century and beyond : proceedings of a workshop on the moonshine conjectures and vertex algebras /

Moonshine : the first quarter century and beyond : proceedings of a workshop on the moonshine conjectures and vertex algebras /

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Bibliographic Details
Imprint:	Cambridge ; New York : Cambridge University Press, ©2010.
Description:	1 online resource (xii, 403 pages) : illustrations
Language:	English
Series:	London Mathematical Society lecture note series ; 372 London Mathematical Society lecture note series ; 372.
Subject:	Modular functions -- Congresses. Group theory -- Congresses. Group theory. Modular functions. Conference papers and proceedings.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11824627

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Other authors / contributors:	Lepowsky, J. (James) McKay, John, 1939- Tuite, Michael P.
ISBN:	9780511729171 0511729170 9780511725876 0511725876 9780511730054 0511730055 9780521106641 0521106648
Notes:	Includes bibliographical references. Print version record.
Summary:	"In 1979, John Conway and Simon Norton's famous paper, 'Monstrous Moonshine', outlined the remarkable connection between the monster group M and the theory of modular functions. The search for an explanation of this phenomenon involved the development and application of diverse areas of mathematics, including (generalized) Kac-Moody algebras, vertex (operator) algebras, automorphic forms and elliptic cohomology, together with string and conformal field theory from theoretical physics. This volume consists of seventeen papers based on talks presented at a workshop held to mark the anniversary of 'Monstrous Moonshine'. Containing a mixture of expository and current research material, they illustrate its extensive impact and reflect the broad range of research activity that has stemmed from the Moonshine conjectures. Potential directions for future development are also discussed"--Provided by publisher "Modular Tensor Categories (MTCs for short)[1, 16] have attracted much attentionin recent years, which is due to the recognition of their importance in bothpure mathematics - 3-dimensional topology, representations of Vertex OperatorAlgebras (VOAs for short) - and theoretical physics"--Provided by publisher
Other form:	Print version: Moonshine. Cambridge ; New York : Cambridge University Press, 2010 9780521106641
Standard no.:	9786612630415

Description
Summary:	The topic 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. <br>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.
Physical Description:	1 online resource (xii, 403 pages) : illustrations
Bibliography:	Includes bibliographical references.
ISBN:	9780511729171 0511729170 9780511725876 0511725876 9780511730054 0511730055 9780521106641 0521106648