Author:
Hansen David,Newton James
Abstract
AbstractUsing the overconvergent cohomology modules introduced by Ash–Stevens, we construct eigenvarieties associated with reductive groups and establish some basic geometric properties of these spaces, building on work of Ash–Stevens, Urban, and others. We also formulate a precise modularity conjecture linking trianguline Galois representations with overconvergent cohomology classes. In the course of giving evidence for this conjecture, we establish several new instances of
Funder
European Research Council
Subject
Applied Mathematics,General Mathematics
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