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On local constancy of dimension of slope subspaces of automorphic forms

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Speaker: 
Joachim Mahnkopf
Zugehörigkeit: 
U Wien
Datum: 
Die, 07/06/2016 - 11:00 - 12:00
Location: 
MPIM Lecture Hall

We prove a higher rank analogoue of a Conjecture of Gouvea-Mazur on local constancy of dimension of
slope subspaces of automorphic forms for reductive groups having discrete series. The proof is based on
a comparison of Bewersdorff's elementary trace formula for pairs of congruent weights and does not
make use of p-adic Banach space methods or rigid analytic geometry.

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