The Shimura curve of discriminant 15 and topological automorphic forms
Algebraic Topology
2015-01-19 v3 Number Theory
Abstract
We find defining equations for the Shimura curve of discriminant 15 over 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.
Keywords
Cite
@article{arxiv.1301.3233,
title = {The Shimura curve of discriminant 15 and topological automorphic forms},
author = {Tyler Lawson},
journal= {arXiv preprint arXiv:1301.3233},
year = {2015}
}
Comments
36 pages, 5 figures, updated with corrections and new introduction (this version corrects image issues in the previous)