Arithmetic Study Group: Affine Hecke algebras for Langlands parameters: the case of inner forms of GL(n,F) with F a local non-archimedean field.
7 September 2016 11:00 in CM107
We will attach an affine Hecke algebra H to any discrete Langlands
parameter of a Levi subgroup
of an inner form G of GL(n,F), and show that H admits a specialization
that is isomorphic to the
corresponding affine Hecke algebra defined by Sécherre and Stevens via
the generalization to G of the
theory of types due to Bushnell and Kutzko. We will deduce from it a
description of the Langlands
correspondence for non-supercuspidal irreducible representations of G.
This is joint work with Ahmed Moussaoui and Maarten Solleveld.
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