UNTWISTING SPECTRAL TRIPLES

Speaker(s)

MAGNUS GOFFENG

Affiliation

Lunds Universitet

Date

April 21, 2021, 5:15 p.m.

Information about the event

Seminar 2021-04-21 17:15:00

Seminar

North Atlantic Noncommutative Geometry Seminar

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Connes and Moscovici introduced twisted spectral triples over a decade ago as a way of extending spectral noncommutative geometry of finite spectral dimension to situations where no finitely summable spectral triples exist. While there are attractive examples where twisted spectral triples provide a natural noncommutative geometry, one might ask for structural results relating twisted and untwisted spectral triples. In this talk, we discuss how the logarithm provides a way to untwist twisted spectral triples. This way we transform finitely summable twisted spectral triples to ordinary theta-summable spectral triples. By examples, we show the preservation of difficulty when it comes to index theory.

https://www.youtube.com/watch?v=IyjH1gVcslI

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