Taylor expansions of two-variable p-adic L-functions

Arithmétique

Lieu: 
Salle Kampé de Fériet
Orateur: 
Andrei Jorza
Affiliation: 
University of Notre Dame
Dates: 
Jeudi, 6 Juin, 2019 - 11:00 - 12:00
Résumé: 

p-adic L-functions attached to p-adic families of cuspidal representations were first used by Greenberg and Stevens in their proof of the Mazur-Tate-Teitelbaum conjecture. They have since been constructed in many instances, most generally for ordinary families on unitary groups by Eischen, Harris, Li and Skinner. I will describe recent work with Mladen Dimitrov on their Taylor expansions that relies on partial p-adic families to force the vanishing of the complex L-function.