Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg


Oberseminar Differentialgeometrie


Dr. Lashi Bandara
Universität Potsdam

spricht am
Montag, 26. November 2018
16:00 Uhr
Raum 2004 (L1)
über das Thema:

»First-order elliptic boundary value problems beyond self-adjoint induced boundary operators«

The Bär-Ballmann framework is a comprehensive framework to consider elliptic boundary value problems (and also their index theory) for first-order elliptic operators on manifolds with compact and smooth boundary. A fundamental assumption in their work is that the induced operator on the boundary is symmetric. Many operators satisfy this requirement including the Hodge-Dirac operator as well as the Atiyah- Singer Dirac operator. Recently, there has been a desire to study more general operators with the quintessential example being the Rarita- Schwinger Dirac operator, which is an operator that fails to satisfy this hypothesis. In this talk, I will present recent work with Bär where we dispense the symmetry assumption and consider general elliptic operators. The ellipticity of the operator still allows us to understand the spectral theory of the induced operator on the boundary, modulo a lower order additive perturbation, as bi-sectorial operator. We use a mixture of methods coming from pseudo-differential operator theory, bounded holomorphic functional calculus, semi-group theory as well as methods arising from the resolution of the Kato square root problem to recover many of the results of the Bär-Ballman framework.


Hierzu ergeht herzliche Einladung.
Prof. Dr. Bernhard Hanke

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).

[Impressum]      [Datenschutz],     Di 16-Okt-2018 09:07:30 MESZ