Embedding of twisted Dirac operators

Date/heure
5 mai 2022
14:15 - 15:15

Lieu
Salle de séminaires Metz

Oratrice ou orateur
Pavle Pandzic (Zagreb)

Catégorie d'évènement
Séminaire Théorie de Lie, Géométrie et Analyse


Résumé

Let G be a non-compact connected semisimple real Lie group with finite center. Suppose L is a non-compact connected closed subgroup of G acting transitively on a symmetric space G/H such that L\cap H is compact. We will describe the action on L/L\cap H of a Dirac operator D_{G/H}(E) acting on sections of an E-twist of the spin bundle over G/H. We will illustrate the results in an SL(2) example.  This is joint work with Salah Mehdi.