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 202015:00 o'clock - 17:00 o'clock