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Currently displaying 1 – 3 of 3

Order by Relevance | Title | Year of publication

The 2-adic eigencurve is proper.

Buzzard, Kevin; Calegari, Frank — 2007

Documenta Mathematica

Automorphic forms and rational homology 3-spheres.

Calegari, Frank; Dunfield, Nathan M. — 2006

Geometry & Topology

Irreducibility of automorphic Galois representations of $G L (n)$ , $n$ at most $5$

Frank Calegari; Toby Gee — 2013

Annales de l’institut Fourier

Let $π$ be a regular, algebraic, essentially self-dual cuspidal automorphic representation of ${GL}_{n} (𝔸_{F})$ , where $F$ is a totally real field and $n$ is at most $5$ . We show that for all primes $l$ , the $l$ -adic Galois representations associated to $π$ are irreducible, and for all but finitely many primes $l$ , the mod $l$ Galois representations associated to $π$ are also irreducible. We also show that the Lie algebras of the Zariski closures of the $l$ -adic representations are independent of $l$ .

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