Programme ANGOA

Schedule ANCGOA2017



The schedule can also be found here: Schedule.pdfSchedule.pdf and a file with all abstracts here: Abstracts.pdfAbstracts.pdf


Branim​ir Cacic


Title: Riemannian principal bundles in unbounded KK-theory

 

 

Abstract: Unbounded KK-theory has rapidly emerged as a natural framework for accommodating submersions and fibrations in the framework of spectral triples as noncommutative manifolds. Applications of noncommutative geometry to mathematical physics motivate the precise translation of the notion of principal bundle into the framework of spectral triples, but substantial progress has only been made in the case of noncommutative torus bundles. In this talk, I’ll discuss how (commutative) Riemannian principal bundles with not necessarily Abelian compact structure groups manifest themselves canonically in terms of spectral triples and unbounded KK-theory under minimal hypotheses; if time permits, I’ll also discuss extensions to