Papers presented at a conference held in April 2007 at the CRM in Monreal.--P. 4, cover.

Includes bibliographical references.

Introduction and background ; Symmetric sums associated to the factorization of Grunsky coefficients ; A monstrous proposal ; Quivers and difference Painleve 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 Apery-like recurrence equations