Séminaires : Séminaire Groupes Réductifs et Formes Automorphes

Equipe(s) : fa, tn,
Responsables :Alexis Bouthier, Benoît Stroh
Email des responsables : alexis.bouthier@imj-prg.fr, benoit.stroh@imj-prg.fr
Salle :
Adresse :

Orateur(s) H. YOSHIDA - Kyoto University,
Titre Non-abelian Lubin-Tate theory and Deligne-Lusztig theory.
Horaire14:00 à 15:00
RésumeBy Harris-Taylor's work with global methods, we know that the etale cohomology groups of coverings of Lubin-Tate space incorporate the local Langlands correspondence for $GL_n$ over local fields. We recover this result in the special case of depth $0$ in a purely local way by computing a resolution of the corresponding formal scheme. It turns out that we can geometrically relate it to the theory of Deligne- Lusztig, as is naturally expected from the form of representations.