Centre de recherches mathématiques

Fields Institute


Pacific Institute for the Mathematical Sciences

University of Western Ontario
Université Western Ontario
Département de mathématiques
Faculté d'éducation
Faculté des sciences
Recherche Western
Département de mathématiques appliquées

Nous remercions chaleureusement ces commanditaires de leur soutien.

Prix Coxeter-James

VINAYAK VATSAL, University of British Columbia, Vancouver
Special values of L-functions modulo p

I will give a survey of old and new results on the non-vanishing of families of L-functions modulo a prime p. The emphasis will be on showing how all these results ultimately rely on some kind of rigidity principle that seems to dictate the the Zariski closure of a various group orbits tends to be rather big in comparison to the group.