Séminaire Physique mathématique ICJ

Stratified spaces, Dirac operators and Positive Scalar Curvature

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

Fokko du Cloux (Institut Camille Jordan)

Fokko du Cloux

Institut Camille Jordan

Université Lyon 1, Bât. Braconnier, 21 av. Claude Bernard, 69100 Villeurbanne
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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