Moonshine: the first quarter century and beyond : proceedings of a workshop on the moonshine conjectures and vertex algebras
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...
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| Weitere Verfasser: | , , |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Cambridge
Cambridge University Press
2010
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| Schriftenreihe: | London Mathematical Society lecture note series
372 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xii, 403 pages) |
| ISBN: | 9780511730054 |
| DOI: | 10.1017/CBO9780511730054 |
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| 505 | 8 | 0 | |t Characters of crossed modules and premodular categories |r Peter Bantay |t On the injectivity of the Kudla-Millson life and surjectivity of the Borcherds lift |r Jan Hendrik Bruinier and Jens Funke |t Ordered spanning sets for vertex operator algebras and their modules |r Geoffrey Buhl |t Friendly giant meets pointlike instantons? On a new conjecture by John McKay |r Anda Degeratu and Katrin Wendland |t Modularity of trace functions in orbifold theory for Z-graded vertex operator superalgebras |r Chongying Dong and Zhongping Zhao |t Twisted modules for vertex operator algebras |r Benjamin Doyon |t Vertex operators and sporadic groups |r John F. Duncan |t The algebraic meaning of being a Hauptmodul |r Terry Gannon |t Borcherds' proof of the Conway-Norton conjecture |r Elizabeth Jurisich |t On the connection of certain lie algebras with vertex algebras |r Haisheng Li |t Vertex operators and arithmetic : how a single photon illuminates number theory |r Geoffrey Mason |t Rational vertex operator algebras and their orbifolds |r Geoffrey Mason |t Quasi-finite algebras graded by Hamiltonian and vertex operator algebras |r Atsushi Matsuo, Kiyokazu Nagatomo and Akihiro Tsuchiya |t On certain automorphic forms associated to rational vertex operator algebras |r Antun Milas |t Moonshine and group cohomology |r C.B. Thomas |t Monstrous and generalized moonshine and permutation orbifolds |r Michael P. Tuite |t New computations in the monster |r Robert A. Wilson |
| 520 | |a 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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Datensatz im Suchindex
| _version_ | 1804176882836439040 |
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| any_adam_object | |
| author2 | Lepowsky, J. McKay, John 1939- Tuite, Michael P. |
| author2_role | edt edt edt |
| author2_variant | j l jl j m jm m p t mp mpt |
| author_additional | Peter Bantay Jan Hendrik Bruinier and Jens Funke Geoffrey Buhl Anda Degeratu and Katrin Wendland Chongying Dong and Zhongping Zhao Benjamin Doyon John F. Duncan Terry Gannon Elizabeth Jurisich Haisheng Li Geoffrey Mason Atsushi Matsuo, Kiyokazu Nagatomo and Akihiro Tsuchiya Antun Milas C.B. Thomas Michael P. Tuite Robert A. Wilson |
| author_facet | Lepowsky, J. McKay, John 1939- Tuite, Michael P. |
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| bvnumber | BV043941306 |
| collection | ZDB-20-CBO |
| contents | Characters of crossed modules and premodular categories On the injectivity of the Kudla-Millson life and surjectivity of the Borcherds lift Ordered spanning sets for vertex operator algebras and their modules Friendly giant meets pointlike instantons? On a new conjecture by John McKay Modularity of trace functions in orbifold theory for Z-graded vertex operator superalgebras Twisted modules for vertex operator algebras Vertex operators and sporadic groups The algebraic meaning of being a Hauptmodul Borcherds' proof of the Conway-Norton conjecture On the connection of certain lie algebras with vertex algebras Vertex operators and arithmetic : how a single photon illuminates number theory Rational vertex operator algebras and their orbifolds Quasi-finite algebras graded by Hamiltonian and vertex operator algebras On certain automorphic forms associated to rational vertex operator algebras Moonshine and group cohomology Monstrous and generalized moonshine and permutation orbifolds New computations in the monster |
| ctrlnum | (ZDB-20-CBO)CR9780511730054 (OCoLC)852516858 (DE-599)BVBBV043941306 |
| dewey-full | 515/.982 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.982 |
| dewey-search | 515/.982 |
| dewey-sort | 3515 3982 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511730054 |
| format | Electronic eBook |
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| spelling | 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 Moonshine - The First Quarter Century & Beyond Cambridge Cambridge University Press 2010 1 online resource (xii, 403 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 372 Title from publisher's bibliographic system (viewed on 05 Oct 2015) 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 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 Modular functions / Congresses Group theory / Congresses Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Modulfunktion (DE-588)4039855-9 gnd rswk-swf Vertexalgebra (DE-588)4328736-0 gnd rswk-swf Edinburgh (DE-588)4013557-3 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Vertexalgebra (DE-588)4328736-0 s Modulfunktion (DE-588)4039855-9 s Mathematische Physik (DE-588)4037952-8 s Edinburgh (DE-588)4013557-3 g DE-604 Lepowsky, J. edt McKay, John 1939- edt Tuite, Michael P. edt Erscheint auch als Druckausgabe 978-0-521-10664-1 https://doi.org/10.1017/CBO9780511730054 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Moonshine the first quarter century and beyond : proceedings of a workshop on the moonshine conjectures and vertex algebras Characters of crossed modules and premodular categories On the injectivity of the Kudla-Millson life and surjectivity of the Borcherds lift Ordered spanning sets for vertex operator algebras and their modules Friendly giant meets pointlike instantons? On a new conjecture by John McKay Modularity of trace functions in orbifold theory for Z-graded vertex operator superalgebras Twisted modules for vertex operator algebras Vertex operators and sporadic groups The algebraic meaning of being a Hauptmodul Borcherds' proof of the Conway-Norton conjecture On the connection of certain lie algebras with vertex algebras Vertex operators and arithmetic : how a single photon illuminates number theory Rational vertex operator algebras and their orbifolds Quasi-finite algebras graded by Hamiltonian and vertex operator algebras On certain automorphic forms associated to rational vertex operator algebras Moonshine and group cohomology Monstrous and generalized moonshine and permutation orbifolds New computations in the monster Modular functions / Congresses Group theory / Congresses Mathematische Physik (DE-588)4037952-8 gnd Modulfunktion (DE-588)4039855-9 gnd Vertexalgebra (DE-588)4328736-0 gnd |
| subject_GND | (DE-588)4037952-8 (DE-588)4039855-9 (DE-588)4328736-0 (DE-588)4013557-3 (DE-588)1071861417 |
| title | Moonshine the first quarter century and beyond : proceedings of a workshop on the moonshine conjectures and vertex algebras |
| title_alt | Moonshine - The First Quarter Century & Beyond Characters of crossed modules and premodular categories On the injectivity of the Kudla-Millson life and surjectivity of the Borcherds lift Ordered spanning sets for vertex operator algebras and their modules Friendly giant meets pointlike instantons? On a new conjecture by John McKay Modularity of trace functions in orbifold theory for Z-graded vertex operator superalgebras Twisted modules for vertex operator algebras Vertex operators and sporadic groups The algebraic meaning of being a Hauptmodul Borcherds' proof of the Conway-Norton conjecture On the connection of certain lie algebras with vertex algebras Vertex operators and arithmetic : how a single photon illuminates number theory Rational vertex operator algebras and their orbifolds Quasi-finite algebras graded by Hamiltonian and vertex operator algebras On certain automorphic forms associated to rational vertex operator algebras Moonshine and group cohomology Monstrous and generalized moonshine and permutation orbifolds New computations in the monster |
| title_auth | Moonshine the first quarter century and beyond : proceedings of a workshop on the moonshine conjectures and vertex algebras |
| title_exact_search | Moonshine the first quarter century and beyond : proceedings of a workshop on the moonshine conjectures and vertex algebras |
| title_full | 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 |
| title_fullStr | 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 |
| title_full_unstemmed | 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 |
| title_short | Moonshine |
| title_sort | moonshine the first quarter century and beyond proceedings of a workshop on the moonshine conjectures and vertex algebras |
| title_sub | the first quarter century and beyond : proceedings of a workshop on the moonshine conjectures and vertex algebras |
| topic | Modular functions / Congresses Group theory / Congresses Mathematische Physik (DE-588)4037952-8 gnd Modulfunktion (DE-588)4039855-9 gnd Vertexalgebra (DE-588)4328736-0 gnd |
| topic_facet | Modular functions / Congresses Group theory / Congresses Mathematische Physik Modulfunktion Vertexalgebra Edinburgh Konferenzschrift |
| url | https://doi.org/10.1017/CBO9780511730054 |
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