Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg


Oberseminar Differentialgeometrie


Hemanth Saratchandran Ph.D.
Universität Augsburg

spricht am
Montag, 3. Dezember 2018
15:30 Uhr
Raum 2004 (L1)
über das Thema:

»Essential self-adjointness of powers of first order differential operators on non-compact manifolds with low regularity metrics.«

The problem of determining the essential self-adjointness 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 self-adjointness 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 self-adjointness of first order differential operators, and their powers, in the context of non-smooth metrics on noncompact manifolds. Using methods from geometry and operator theory we are able to show that essential self-adjointness, 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

[Impressum]      [Datenschutz],     Di 20-Nov-2018 09:15:51 MEZ