Orateur
Clément Cren
(Universität Göttingen)
Description
At the end of the 80's, Boutet de Monvel gave an index formula for Toeplitz operators on certain complex domains. This formula was later re-interpreted by Epstein and Melrose using Heisenberg calculus on contact manifolds. In a joint work with Erfan Rezaei, we extend this formula to the case of families. More generally, we extend the index theorem of Baum and van Erp to families of contact manifolds. I will present some aspects of the proof, and if time permits, a potential obstruction to generalizations.