Date/heure
24 mars 2022
14:15 - 15:15
Oratrice ou orateur
Dan Ciubotaru (Oxford)
Catégorie d'évènement Séminaire Théorie de Lie, Géométrie et Analyse
Résumé
I will present several applications of the Dirac inequality to the determination of unitary representations of p-adic groups and associated « spectral gaps ». The method works particularly well in order to attach irreducible unitary representations to the large nilpotent orbits (e.g., regular, subregular) in the Langlands dual complex Lie algebra. These results can be viewed as a p-adic analogue of Salamanca-Riba’s classification of irreducible unitary (g,K)-modules with strongly regular infinitesimal character.