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Host: Centre de recherches mathématiques (CRM)
Homepage: http://www.crm.umontreal.ca/act/theme/theme_1998-1999_an.html#moonshine
Organizers: J. McKay (Concordia)
Description:
"Moonshine" started in 1978 with the observation that representations of some sporadic groups are naturally parametrized by the Fourier coefficients of certain
modular forms. The functions arising here are axiomatizable as replicable functions from their behaviour under a generalized Hecke operator.
There is a panoply of mathematics used in these investigations. Vertex algebras, graded Lie algebras, conformal field theory, automorphic functions, Fuchsian groups, computational algebra, Schwarz derivatives, Hecke operators, representation theory, and mirror maps all appear.
The workshop, one in a two yearly series, will focus on recent developments on the subject.
Speakers: A.O.L. Atkin (Illinois, Chicago), A. Baker (Glasgow), S.J. Bloch (Chicago), R.E. Borcherds (Cambridge), M. Brightwell (Glasgow), J. Conway (Princeton), I.V. Dolgachev (Michigan), C.-Y. Dong (UC Santa Cruz), B. Dubrovin (SISSA, Trieste), P. Goddard FRS (Cambridge), G.I. Glauberman (Chicago), R.L. Griess Jr. (Michigan), K. Harada (Ohio State), M.J. Hopkins (M.I.T.), G. Mason (UC Santa Cruz), S.P. Norton (Cambridge), A.J. Ryba (Michigan), K. Saito (Kyoto), H. Tamanoi (UC Santa Cruz), M. Tuite (National University of Ireland, Galway), S.-T. Yau (Harvard), N. Yui (Queen's)
Date received: January 31, 1999, revised October 16, 2005
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