There will be two additional contributed talks, to be announced later.
Kouichi Taira (University of Tokyo) Essential self-adjointness of pseudodifferential operators
In this talk, we study the essential self-adjointness of real principal type pseudo-differential operators in a Eucliedan space. When the operator is Riemannian Laplacian, it is known that the completeness of the metric is sufficient condition for the essential self-adjointness. However, such a condition for general pseudo-differential operators is not known. We prove the essential self-adjointness under null non-trapping condition. For a proof, we employ microlocal propagation estimates in a interior region and a exterior region respectively.
This is joint work with Shu Nakamura.