Universität Augsburg

Hemanth Saratchandran Ph.D.
Universität Augsburg
spricht am
Montag, 3. Dezember 2018
um
15:30 Uhr
im
Raum 2004 (L1)
über das Thema:
Abstract: 
The problem of determining the essential selfadjointness of a differential operator on a smooth manifold, and its powers, is an important and well studied topic. One of the primary motivations for studying the essential selfadjointness of a differential operator $D$ comes from the fact that it allows one to build a functional calculus (of Borel functions) for the closure of that operator. Such a functional calculus is then used to solve partial differential equations on a manifold constructed via the operator. In this talk, I will present joint work with L. Bandara where we consider the question of essential selfadjointness of first order differential operators, and their powers, in the context of nonsmooth metrics on noncompact manifolds. Using methods from geometry and operator theory we are able to show that essential selfadjointness, at its heart, is an operator theoretic condition which requires minimal assumptions on the geometry of the manifold. Applications to Dirac type operators on Dirac bundles will be discussed. 
Hierzu ergeht herzliche Einladung. 
Prof. Dr. Bernhard Hanke 