Automorphic forms and cohomology theories on Shimura curves of small discriminant

Details Automorphic forms and cohomology theories on Shimura curves of small discriminant Automorphic forms and cohomology theories on Shimura curves of small discriminant

2009-02-16

arxiv.org/abs/0902.2603v2

Mathematics

Algebraic Topology

46 pages, 3 figures. Updated version

Scientific paper

We compute the homotopy groups of spectra associated by a theorem of Lurie to
the Shimura curves of discriminants 6, 10, and 14, beginning with a computation
of integral rings of automorphic forms on these curves. As an application, we
find that a generalized truncated Brown-Peterson spectrum BP<2> is an E_\infty
ring spectrum at the prime 3.

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