Skip to main content

On local constancy of dimension of slope subspaces of automorphic forms

Posted in
Speaker: 
Joachim Mahnkopf
Zugehörigkeit: 
U Wien
Datum: 
Die, 2016-06-07 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.

© MPI f. Mathematik, Bonn Impressum & Datenschutz
-A A +A