Corps de nombres peu ramifiés et formes automorphes autoduales

By Gaëtan Chenevier, L. Clozel. 2007

60 citations recorded by the source corpus.

Let S be a finite set of primes, p in S, and Q_S a maximal algebraic extension of Q unramified outside S and infinity. Assume that |S|>=2. We show that the natural maps Gal(Q_p^bar/Q_p) --> Gal(Q_S/Q) are injective. Much of the paper is devoted to the problem of constructing selfdual automorphic cuspidal representations of GL(2n,A_Q) with prescribed properties at all places, that we study via the twisted trace formula of J. Arthur. The techniques we develop shed also some lights on the orthogonal/symplectic alternative for selfdual representations of GL(2n).

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a59cd482163c3fed0f4e9a69899bd3bcb7b120d4

Citations in the corpus

• Sato–Tate theorem for families and low-lying zeros of automorphic $$L$$L-functions (2012, unknown): “12 in [19] implies that”