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Mehran Seyedhosseini (Universität Göttingen): Around the Relative Index. (Oberseminar Topologie)

Montag, 20.05.2019 14:00 im Raum M4
Mathematik und Informatik

In the first part of the talk, I will recall some concepts from coarse geometry and higher index theory. This is followed by a discussion of the relative index map of Chang, Weinberger and Yu and the relative index of Dirac operators on manifolds with boundary. In the second part, I will discuss the relationship between the relative index and absoulte indices defined in the presence of positive scalar curvature (psc) at the boundary. This relationship can be used to give a conceptual proof of the fact that the relative index is an obstruction to the existence of a psc metric. Finally, I will sketch how one can define secondary invariants associated to psc metrics on manifolds with boundary.



Angelegt am Mittwoch, 20.03.2019 08:40 von boeckena
Geändert am Dienstag, 26.03.2019 11:22 von boeckena
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