Buildings, elliptic curves, and the K(2)-local sphere

dc.creatorBehrens, Mark
dc.date2005-10-03
dc.date.accessioned2026-07-07T06:20:34Z
dc.date.available2026-07-07T06:20:34Z
dc.descriptionWe 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).
dc.description41 pages
dc.identifierhttps://arxiv.org/abs/math/0510026
dc.identifierhttp://arxiv.org/abs/math/0510026
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95357
dc.subjectAlgebraic Topology
dc.titleBuildings, elliptic curves, and the K(2)-local sphere
dc.typetext

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