On the automorphic atoms of length 2 of GL2(Qp)\mathrm{GL}_2(\mathbb{Q}_p)

  • Stefano Morra

    Laboratoire Montpéllierain "A. Grothendieck", Université de Montpellier, place E. Bataillon, Cc 051, 34095 Montpellier cedex 5, France
On the automorphic atoms of length 2 of $\mathrm{GL}_2(\mathbb{Q}_p)$ cover
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Let p>3p>3 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 pp-modular local Langlands correspondence for GL2(Qp)\bold{GL}_2(\bold{Q}_p). As an application we describe Hecke isotypical components of the mod pp cohomology of the modular curve over Q\bold{Q} with deeply ramified level at pp.

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Stefano Morra, On the automorphic atoms of length 2 of GL2(Qp)\mathrm{GL}_2(\mathbb{Q}_p). Doc. Math. 22 (2017), pp. 777–823

DOI 10.4171/DM/578