On the automorphic atoms of length 2 of
Stefano Morra
Laboratoire Montpéllierain "A. Grothendieck", Université de Montpellier, place E. Bataillon, Cc 051, 34095 Montpellier cedex 5, France
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Abstract
Let be a prime. The aim of this paper is to give a description of the invariant space, under principal and Iwahori congruence subgroups of arbitrary level, of extensions of generic principal series representations appearing in the -modular local Langlands correspondence for . As an application we describe Hecke isotypical components of the mod cohomology of the modular curve over with deeply ramified level at .
Cite this article
Stefano Morra, On the automorphic atoms of length 2 of . Doc. Math. 22 (2017), pp. 777–823
DOI 10.4171/DM/578