Séminaires : Séminaire d'Algèbre

Equipe(s) : gr,
Responsables :J. Alev, D. Hernandez, B. Keller, Th. Levasseur, et S. Morier-Genoud.
Email des responsables : Jacques Alev <jacques.alev@univ-reims.fr>, David Hernandez <david.hernandez@imj-prg.fr>, Bernhard Keller <bernhard.keller@imj-prg.fr>, Thierry Levasseur <Thierry.Levasseur@univ-brest.fr>, Sophie Morier-Genoud <sophie.morier-genoud@imj-prg.fr>
Salle : 001
Adresse :IHP


Orateur(s) Dmitry GOUREVITCH - Weizmann,
Titre Intertwining operators between line bundles on Grassmanians
Horaire14:00 à 15:00
RésumeWe consider GL(n,R)-equivariant maps between global sections of equivariant line bundles on (possibly) different Grassmanians. We fined when such maps exist and show that they are unique up to a constant. The question and the answer can be formulated in quite elementary terms. Time permitting, I will sketch the proof whose main ingredient is the theory of derivatives that was introduced by Bernstein-Zelevinsky over p-adic fields and recently partially extended to Archimedean fields by us. This is a joint work with Siddhartha Sahi.