Séminaires : Séminaire Groupes Réductifs et Formes Automorphes

Equipe(s) : fa, tn,
Responsables :Alexis Bouthier, Cong Xue
Email des responsables : alexis.bouthier@imj-prg.fr, cong.xue@imj-prg.fr
Salle :
Adresse :

Orateur(s) Toby GEE - Imperial College,
Titre Lattices in the cohomology of Shimura curves
Horaire10:30 à 11:30
RésumeI will discuss joint work with Matthew Emerton and David Savitt, proving conjectures of Breuil and Dembele. More precisely, we prove a multiplicity one result for the mod p cohomology of a Shimura curve at Iwahori level, and we show that certain apparently globally defined lattices in the cohomology of Shimura curves are determined by the corresponding local p-adic Galois representations. Our main tools are the geometric Breuil–Mezard philosophy, and a new and more functorial perspective on the Taylor–Wiles–Kisin patching method.