Topological automorphic forms

General Introduction
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Search results
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Online References
The original article by Behrens and Lawson
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Paper References
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Definition
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Properties
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Standard theorems
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Open Problems
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Connections to Number Theory
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Computations and Examples
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History and Applications
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Some Research Articles
arXiv:0910.0617 Higher real Ktheories and topological automorphic forms from arXiv Front: math.AT by Mark Behrens, Michael J. Hopkins Given a maximal finite subgroup G of the nth Morava stabilizer group at a prime p, we address the question: is the associated higher real Ktheory EO_n a summand of the K(n)localization of a TAFspectrum associated to a unitary similitude group of type U(1,n1)? We answer this question in the affirmative for p in {2, 3, 5, 7} and n = (p1)p^{r1} for a maximal finite subgroup containing an element of order p^r. We answer the question in the negative for all other odd primary cases. In all odd primary cases, we to give an explicit presentation of a global division algebra with involution in which the group G embeds unitarily.
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