Stratified spaces, Dirac operators and Positive Scalar Curvature

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

vendredi 1 déc. 2017 à 14:00 → 15:00 Europe/Paris

Fokko du Cloux (Institut Camille Jordan)

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.