Construction of eigenvarieties in small cohomological dimensions for semi-simple, simply connected groups

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dc.creatorHill, Richard
dc.date2007-06-25
dc.date.accessioned2026-07-07T08:12:15Z
dc.date.available2026-07-07T08:12:15Z
dc.descriptionWe study low order terms of Emerton's spectral sequence for simply connected, simple groups. As a result, for real rank 1 groups, we show that Emerton's method for constructing eigenvarieties is successful in cohomological dimension 1. For real rank 2 groups, we show that a slight modification of Emerton's method allows one to construct eigenvarieties in cohomological dimension 2.
dc.identifierhttps://arxiv.org/abs/0706.3670
dc.identifierhttp://arxiv.org/abs/0706.3670
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132389
dc.subjectNumber Theory
dc.subject11F33
dc.titleConstruction of eigenvarieties in small cohomological dimensions for semi-simple, simply connected groups
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