Vendredi 30 Septembre

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Vendredi 30 Septembre
Heure: 10:30 - 12:00
Lieu: Salle B407, bâtiment B, LAGA, Institut Galilée, Université Paris 13
Résumé: Géométrie Arithmétique et Motivique - On (automorphic) density theorems for certain families of congruence lattices in SL_n -
Description: Edgar AssingRoughly speaking automorphic density theorems show, in a suitable
quantitative way, that the number of non-tempered cusp forms is
small. In applications this can serve as a convenient replacement
for the  generalized Ramanujan Conjecture, which appears to be out
of reach of current technology. In this talk we will discuss a
general approach to such density theorems for $SL_n$ using the
Kuznetsov formula. Doing so we will highlight some important
ingredients that are necessary for a successful execution of this
strategy. Finally, we will look at different families of
congruence lattices in order to see what can be done about the
aforementioned ingredients in practice.