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Toeplitz operators in noncommutative geometry

Kevin Falk
(Aix-Marseille University)
Seminar
Tirsdag, 10 maj, 2016, at 11:30, (1532-314) Øv. G3.1
Abstrakt:
Toeplitz operators intertwine various domains of mathematics such as operator theory, analysis and quantization. I will show that they can also be used in the context of noncommutative geometry to build noncommutative spectral triples over strictly pseudoconvex domains and self-similar sets in the complex plane. A spectral triple related to the Berezin--Toeplitz quantization is also presented.
Organiseret af: QGM
Kontaktperson: Jørgen Ellegaard Andersen