Buildings, elliptic curves, and the K(2)-local sphere
Algebraic Topology
2007-05-23 v1
Abstract
We investigate a dense subgroup Gamma of the second Morava stabilizer group given by a certain group of quasi-isogenies of a supersingular elliptic curve in characteristic p. The group Gamma acts on the Bruhat-Tits building for GL_2(Q_l) through its action on the l-adic Tate module. This action has finite stabilizers, giving a small resolution for the homotopy fixed point spectrum (E_2^hGamma)^hGal by spectra of topological modular forms. Here, E_2 is a version of Morava E-theory and Gal = Gal(barF_p/F_p).
Keywords
Cite
@article{arxiv.math/0510026,
title = {Buildings, elliptic curves, and the K(2)-local sphere},
author = {Mark Behrens},
journal= {arXiv preprint arXiv:math/0510026},
year = {2007}
}
Comments
41 pages