Familles p-adiques de formes automorphes pour GLn

By Gaëtan Chenevier. 2004

153 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/b7d9c9da8dda9d4faa66d3677f6f9c31dd8c9513

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Citations in the corpus

Overconvergent Hilbert modular forms (2005, methodology): “There are other approaches to theorems such as the above, which are based on switching from forms on GL2 /F to forms on definite quaternion algebras and making certain representation theoretic constructions—see for example forthcoming work of Buzzard [Bu1], [Bu2], as well as [ Che ], [Em] and [Kas] ”
Overconvergent algebraic automorphic forms (2009, methodology): “On the other hand, when G is a definite unitary group split at p, the space of overconvergent forms defined in [10] corresponds to the other extreme case where P is a Borel subgroup.”
L -functions and Galois Representations: Eigenvarieties (2007, background): “6 of this paper is assumed both by Chenevier in [8], and Yamagami in [17], who independently announced results very similar to those in Part III of this paper, the main difference being that Yamagami works with the U operator at only one prime above p and fixes weights at the other places, hence his”
On the infinite fern of Galois representations of unitary type (2009, background): “1.6]). By Rogawski’s results and [BCh1, Cor. 7.5.4] (or [ Ch1 , Cor.”
On the interpolation of systems of eigenvalues attached to automorphic Hecke eigenforms (2006, methodology): “(In the case of [5], [6, §§8,9] and [8], the arithmetic quotients that are considered are zero-dimensional.”
On the eigencurve at classical weight $1$ points (2013, unknown): “There exists (see [6, § 7]) a continuous pseudo-character sending Frob ℓ to T ℓ for all ℓ ∤ Np .”
The sign of Galois representations attached to automorphic forms for unitary groups (2008, background): “7.5] (or in [ Ch1 ]), this is enough to equipX with a continuousm-dimensional pseudocharacter T : GK ! O(X) of dimensionm.”