Séminaire Physique mathématique ICJ

Stratified spaces, Dirac operators and Positive Scalar Curvature

par Paolo Piazza (Universita di Roma "La Sapienza")

Europe/Paris
Fokko du Cloux (Institut Camille Jordan)

Fokko du Cloux

Institut Camille Jordan

Université Lyon 1, Bât. Braconnier, 21 av. Claude Bernard, 69100 Villeurbanne
Description
Let $\widehat{X}$ be a Thom-Mather stratified space and let $X$ be its regular part. We can endow $X$ with an incomplete conic-type metric, or with a fibered corner metrics (which is complete). Assume $X$ is spin. In this talk I will talk about primary and secondary K-theory invariants of the corresponding spin Dirac operator, with a particular emphasis on the complete case, where gropupoids techniques will be used following the foundational work of Debord-Lescure-Rochon and the Ph.D. thesis of Zenobi. This is joint work with Vito Felice Zenobi.
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