| Softcover ISBN: | 978-0-8218-4481-6 |
| Product Code: | CRMP/47 |
| List Price: | $132.00 |
| MAA Member Price: | $118.80 |
| AMS Member Price: | $105.60 |
| eBook ISBN: | 978-1-4704-1775-8 |
| Product Code: | CRMP/47.E |
| List Price: | $132.00 |
| MAA Member Price: | $118.80 |
| AMS Member Price: | $105.60 |
| Softcover ISBN: | 978-0-8218-4481-6 |
| eBook: ISBN: | 978-1-4704-1775-8 |
| Product Code: | CRMP/47.B |
| List Price: | $264.00 $198.00 |
| MAA Member Price: | $237.60 $178.20 |
| AMS Member Price: | $211.20 $158.40 |
| Softcover ISBN: | 978-0-8218-4481-6 |
| Product Code: | CRMP/47 |
| List Price: | $132.00 |
| MAA Member Price: | $118.80 |
| AMS Member Price: | $105.60 |
| eBook ISBN: | 978-1-4704-1775-8 |
| Product Code: | CRMP/47.E |
| List Price: | $132.00 |
| MAA Member Price: | $118.80 |
| AMS Member Price: | $105.60 |
| Softcover ISBN: | 978-0-8218-4481-6 |
| eBook ISBN: | 978-1-4704-1775-8 |
| Product Code: | CRMP/47.B |
| List Price: | $264.00 $198.00 |
| MAA Member Price: | $237.60 $178.20 |
| AMS Member Price: | $211.20 $158.40 |
-
Book DetailsCRM Proceedings & Lecture NotesVolume: 47; 2009; 366 ppMSC: Primary 20; Secondary 11
This volume contains papers presented at a conference held in April 2007 at the CRM in Montreal honouring the remarkable contributions of John McKay over four decades of research. Papers by invitees who were unable to attend the conference are also included.
The papers cover a wide range of topics, including group theory, symmetries, modular functions, and geometry, with particular focus on two areas in which John McKay has made pioneering contributions: “Monstrous Moonshine” and the “McKay Correspondence”. This book will be a valuable reference for graduate students and researchers interested in these and related areas and serve as a stimulus for new ideas.
Titles in this series are co-published with the Centre de Recherches Mathématiques.
ReadershipGraduate students and research mathematicians interested in group theory, symmetries, modular functions, and geometry.
-
Table of Contents
-
Chapters
-
Introduction and background
-
Symmetric sums associated to the factorization of Grunsky coefficients
-
A monstrous proposal
-
Quivers and difference Painlevé equations
-
Families of Ramanujan graphs and quaternion algebras
-
Normal forms, K3 surface moduli, and modular parametrizations
-
Spontaneous generation of Hilbert modular functions
-
On a class of congruence subgroups
-
McKay’s correspondence for cocompact discrete subgroups of SU(1, 1)
-
Arithmetic groups and the affine $\mathrm {E}_8$ Dynkin diagram
-
The Galois action on character tables
-
Hecke operators in equivariant elliptic cohomology and generalized moonshine
-
Sculptural presentation of the icosahedral rotation group
-
Spherical harmonics and the icosahedron
-
Alternating group and multivariate exponential functions
-
Moonshine elements in elliptic cohomology
-
The generalized Artin conjecture and arithmetic orbifolds
-
McKay correspondence
-
On ground fields of arithmetic hyperbolic reflection groups
-
Moonshine-type functions and the CRM correspondence
-
Monodromy evolving deformations and Halphen’s equation
-
Integral solutions of Apéry-like recurrence equations
-
-
Additional Material
-
RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
This volume contains papers presented at a conference held in April 2007 at the CRM in Montreal honouring the remarkable contributions of John McKay over four decades of research. Papers by invitees who were unable to attend the conference are also included.
The papers cover a wide range of topics, including group theory, symmetries, modular functions, and geometry, with particular focus on two areas in which John McKay has made pioneering contributions: “Monstrous Moonshine” and the “McKay Correspondence”. This book will be a valuable reference for graduate students and researchers interested in these and related areas and serve as a stimulus for new ideas.
Titles in this series are co-published with the Centre de Recherches Mathématiques.
Graduate students and research mathematicians interested in group theory, symmetries, modular functions, and geometry.
-
Chapters
-
Introduction and background
-
Symmetric sums associated to the factorization of Grunsky coefficients
-
A monstrous proposal
-
Quivers and difference Painlevé equations
-
Families of Ramanujan graphs and quaternion algebras
-
Normal forms, K3 surface moduli, and modular parametrizations
-
Spontaneous generation of Hilbert modular functions
-
On a class of congruence subgroups
-
McKay’s correspondence for cocompact discrete subgroups of SU(1, 1)
-
Arithmetic groups and the affine $\mathrm {E}_8$ Dynkin diagram
-
The Galois action on character tables
-
Hecke operators in equivariant elliptic cohomology and generalized moonshine
-
Sculptural presentation of the icosahedral rotation group
-
Spherical harmonics and the icosahedron
-
Alternating group and multivariate exponential functions
-
Moonshine elements in elliptic cohomology
-
The generalized Artin conjecture and arithmetic orbifolds
-
McKay correspondence
-
On ground fields of arithmetic hyperbolic reflection groups
-
Moonshine-type functions and the CRM correspondence
-
Monodromy evolving deformations and Halphen’s equation
-
Integral solutions of Apéry-like recurrence equations
