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Pseudodifferential operators on filtered manifolds
01 Dec
01. December 2020
Oberseminar Analysis und Theoretische Physik (Online)

Pseudodifferential operators on filtered manifolds

Filtered manifolds allow to attach orders greater than one to vector fields when understood as differential operators. As a consequence, the highest order part of an operator belongs to a noncommutative algebra. Instead of the principal symbol, one considers a family of operators acting on certain osculating Lie groups. In this talk, I will explain how the order zero pseudodifferential extension of this calculus can be obtained using generalized fixed point algebras. I will discuss how the Rockland condition on the osculating groups yields a criterion when an operator is Fredholm.

This talk is based on my recently completed PhD thesis supervised by Ralf Meyer and Ryszard Nest.

Speaker

Eske Ewert,
Leibniz Universität Hannover

Organiser

Institut für Analysis

Date

01. December 2020
15:00 o'clock - 17:00 o'clock

Location

Der Vortrag findet online statt. Zugangsinformationen erhalten Sie per E-Mail von Herrn Prof. Dr. Elmar Schrohe (schrohe@math.uni-hannover.de).


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