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:	xii, 403 p. : ill. ; 23 cm.
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:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/8141822

Hidden Bibliographic Details
Other authors / contributors:	Lepowsky, J. (James) McKay, John, 1939- Tuite, Michael P.
ISBN:	9780521106641 (pbk.) 0521106648 (pbk.)
Notes:	Includes bibliographical references.
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.

Description
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.
Physical Description:	xii, 403 p. : ill. ; 23 cm.
Bibliography:	Includes bibliographical references.
ISBN:	9780521106641 0521106648