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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

### Table of Contents

**Front/Back Matter**

**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