# Automorphic forms and cohomology theories on Shimura curves of small discriminant - Mathematics > Algebraic Topology

Automorphic forms and cohomology theories on Shimura curves of small discriminant - Mathematics > Algebraic Topology - Download this document for free, or read online. Document in PDF available to download.

Abstract: We compute the homotopy groups of spectra associated by a theorem of Lurie tothe Shimura curves of discriminants 6, 10, and 14, beginning with a computationof integral rings of automorphic forms on these curves. As an application, wefind that a generalized truncated Brown-Peterson spectrum BP<2> is an E \inftyring spectrum at the prime 3.

Author: ** Michael Hill, Tyler Lawson**

Source: https://arxiv.org/