On local boundary conditions for Dirac-type operators

18.12.2025, 16:15  –  Raum 1.22
Forschungsseminar Differentialgeometrie

Nadine Große (Freiburg)

We discuss smooth local boundary conditions for Dirac-type operators, giving existence and non-existence results for local self-adjoint boundary conditions and discuss concrete parametrizations of the space of all those conditions in low dimensions. We also give concrete conditions when these boundary conditions are elliptic/regular/Shapiro-Lopatinski (i.e. in particular giving rise to self-adjoint Dirac operators with domain in H¹).

This is joint work with Hanne van den Bosch (Universidad de Chile) and Alejandro Uribe (University of Michigan).