THE SHIMURA CURVE OF DISCRIMINANT 15 AND TOPOLOGICAL AUTOMORPHIC FORMS

Autor: TYLER LAWSON
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Forum of Mathematics, Sigma, Vol 3 (2015)
Druh dokumentu: article
ISSN: 2050-5094
DOI: 10.1017/fms.2015.1
Popis: We find defining equations for the Shimura curve of discriminant 15 over $\mathbb{Z}[1/15]$. We then determine the graded ring of automorphic forms over the 2-adic integers, as well as the higher cohomology. We apply this to calculate the homotopy groups of a spectrum of ‘topological automorphic forms’ associated to this curve, as well as one associated to a quotient by an Atkin–Lehner involution.
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