Automorphic forms and cohomology theories on Shimura curves of small\n discriminant

2009/02/15 by Michael A. Hill, Hill, Michael, Tyler Lawson +1 · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.0902.2603

openalex publication_date 2009/02/15 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

Abstract

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

Citations

• Topological automorphic forms on U(1,1)

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