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Proceedings on Moonshine and Related Topics

About this Title

John McKay, Concordia University, Montreal, QC, Canada and Abdellah Sebbar, University of Ottawa, Ottawa, ON, Canada, Editors

Publication: CRM Proceedings and Lecture Notes
Publication Year: 2001; Volume 30
ISBNs: 978-0-8218-2879-3 (print); 978-1-4704-3944-6 (online)
DOI: https://doi.org/10.1090/crmp/030
MathSciNet review: MR1877751
MSC: Primary 11-06; Secondary 00B30, 20-06

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Table of Contents

Front/Back Matter

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Chapters

• Invariants for finite dimensional groups in vertex operator algebras associated to basic representations of affine algebras
• Transformation laws for theta functions
• Algebro-geometric isomonodromic deformations linking Hauptmoduls: Variation of the mirror map
• On McKay’s connection between the affine $E_8$ diagram and the monster
• Sylow 2-subgroups of simple groups
• Yoshida surfaces with Picard number $\rho \geq 17$
• Hypergeometric modular forms and supersingular elliptic curves
• Fusion rules for ternary and $\mathbb {Z}_2 \times \mathbb {Z}_2$ code vertex operator algebras
• The regular representations and the $A_{n}(V)$-algebras
• Linear dependencies among completely replicable functions
• Arithmetic semistable elliptic surfaces
• Modular invariance of trace functions on VOAs in many variables
• The mirror map for a family of $K$3 surfaces induced from the simplest 3-dimensional reflexive polytope
• From moonshine to the monster
• Hypergeometric functions and non-associative algebras
• Extended affine root systems. V. Elliptic eta-products and their Dirichlet series
• Deflating infinite Coxeter groups to finite groups
• Genus two meromorphic conformal field theory
• Picard-Fuchs equations of some families of elliptic curves

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