Event Series
Event Type
Seminar
Friday, February 5, 2021 11:00 AM
Fritz Gesztesy (Baylor University)

Abstract: We report on recent results regarding the limiting absorption principle for multi-dimensional, massless Dirac-type operators (implying absence of singularly continuous spectrum) and continuity properties of the associated spectral shift function.

We will motivate our interest in this circle of ideas by briefly describing the connection to index theory for non-Fredholm operators, particularly, to the notion of the Witten index. 

This is based on various joint work with A. Carey, J. Kaad, G. Levitina, R. Nichols, D. Potapov, F. Sukochev, and D. Zanin.

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