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Seminar on Analysis, Geometry, and PDEs


Tid: 2021-05-11 15:15 till 16:15
Plats: This talk is given on Zoom. Email the organizer to receive an invitation.
Kontakt: eskil [dot] rydhe [at] math [dot] lu [dot] se
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Pseudodifferential extensions using generalized fixed point algebras

Speaker: Eske Ewert (Hannover)

Abstract: In this talk, I will explain how pseudodifferential extensions can be built using Rieffel's generalized fixed point algebras. This approach will be described for classical pseudodifferential operators on a manifold, but also for the inhomogeneous calculus on graded Lie groups or filtered manifolds. In case of a filtered manifold, the role of the principal symbol is replaced by a family of model operators acting on certain osculating groups. We prove that the Rockland condition for these model operators gives a Fredholm criterion for operators in this calculus. This talk is based on my PhD thesis which was supervised by Ralf Meyer and Ryszard Nest.