Arthur's infinitesimal-character conjecture for congruence spectra
Arthur's infinitesimal-character conjecture for congruence spectra
Let be a semisimple algebraic group over , let be a congruence subgroup, and let be an irreducible representation of occurring weakly in . An Arthur parameter is a parameter arising from an Arthur parameter . Arthur's infinitesimal-character conjecture. The infinitesimal character of is associated with an Arthur parameter . This is a deliberately weak formulation of Arthur's conjectures concerning the partition of the automorphic dual into finite Arthur packets; the source gives no resolution of this assertion.
Sources & referencesView supporting material
Primary source
N. Bergeron, “Représentations cohomologiques isolées, applications cohomologiques”, arXiv:math/0511689 (2005).
Additional references
2 papers in this index state this conjecture (2004–2005). The statement above is taken from the most recent of them; the others are arXiv:math/0411385.
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
Sign in to submit a solution.
No solutions have been posted yet.