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 nontempered cusp forms is small. In applications this can serve as a convenient replacement for the&nbsp; 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.&nbsp; 

