Moonshine elements in elliptic cohomology

Mathematics – Algebraic Topology

Scientific paper

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Talk at the Spring 07 Montreal conference on groups and symmetries, in honor of John McKay

Scientific paper

This is a historical talk about the recent confluence of two lines of
research in equivariant elliptic cohomology, one concerned with connected Lie
groups, the other with the finite case. These themes come together in (what
seems to me remarkable) work of N. Ganter, relating replicability of
McKay-Thompson series to the theory of exponential cohomology operations.

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