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Groups and symmetries : from Neolithic Scots to John McKay

Author: John McKay; J P Harnad; Pavel Winternitz
Publisher: Providence, R.I. : American Mathematical Society, ©2009.
Series: CRM proceedings & lecture notes, v 47.
Edition/Format:   eBook : Document : Conference publication : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Conference papers and proceedings
Electronic books
Congresses
Additional Physical Format: Print version:
Groups and symmetries :
(DLC) 2009010376
Named Person: John McKay; John McKay
Material Type: Conference publication, Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: John McKay; J P Harnad; Pavel Winternitz
ISBN: 9781470417758 1470417758
OCLC Number: 989865857
Notes: "Papers presented at a conference held in April 2007 at the CRM in Monreal."--P. 4, cover.
Description: 1 online resource (xvii, 366 p. : ill.)
Contents: 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
Series Title: CRM proceedings & lecture notes, v 47.
Responsibility: John Harnad, Pavel Winternitz, editors.

Abstract:

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.

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