Moonshine - the First Quarter Century and Beyond : Proceedings of a Workshop on the Moonshine C...
ISBN: 9780521106641 | 0521106648
Format: PaperbackPublisher: Cambridge University Press
Pub. Date: 9/6/2010
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This edited volume contains a mixture of expository and current research material that illustrates the far-reaching impact of 'Monstrous Moonshine' on mathematics and theoretical physics and reflects the range of research activity that has stemmed from the Moonshine conjectures. Potential directions for future development are also discussed.
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 ... MORE
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 ... MORE
| Preface | p. vii |
| Schedule of Talks | p. x |
| Characters of Crossed Modules and Premodular Categories | p. 1 |
| On the Injectivity of the Kudla-Millson Lift and Surjectivity of the Borcherds Lift | p. 12 |
| Ordered Spanning Sets for Vertex Operator Algebras and their Modules | p. 40 |
| Friendly Giant Meets Pointlike Instantons? On a New Conjecture | p. 55 |
| Modularity of Trace Functions in Orbifold Theory for... MORE | p. 128 |
| Twisted Modules for Vertex Operator Algebras | p. 144 |
| Vertex Operators and Sporadic Groups | p. 188 |
| The Algebraic Meaning of Being a Hauptmodul | p. 204 |
| Borcherds' Proof of the Conway-Norton Conjecture | p. 219 |
| On the Connection of Certain Lie Algebras with Vertex Algebras | p. 236 |
| Vertex Operators and Arithmetic: How a Single Photon Illuminates Number Theory | p. 255 |
| Rational Vertex Operator Algebras and their Orbifolds | p. 270 |
| Quasi-finite Algebras Graded by Hamiltonian and Vertex Operator Algebras | p. 282 |
| On Certain Automorphic Forms Associated to Rational Vertex Operator Algebras | p. 330 |
| Moonshine and Group Cohomology | p. 358 |
| Monstrous and Generalized Moonshine and Permutation Orbifolds | p. 378 |
| New computations in the Monster | p. 393 |
| Table of Contents provided by Ingram. All Rights Reserved. |
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