Kolloquium: E. Schrohe, Index Theory and Quantization

Index Theory and Quantization

Referent: Prof. Dr. Elmar Schrohe, Leibniz Universität Hannover
Veranstalter: Karl-Hermann Neeb

Abstract:
The talk starts with an introduction to index theory for differential operators. We then consider operator algebras associated with canonical transformations. It turns out that this is a rather general concept encompassing many known situations. We introduce a notion of ellipticity which implies the Fredholm property and sketch an approach to the index theory for these operators.