Speaker
Prof.
Paulo Carrillo Rouse
(University de Toulouse)
Description
This talk is based on my work in collaboration with Bai-Ling
Wang and Hang Wang, available in the arxiv. I will explain how to use deformation groupoids to properly define a Chern-Baum-Connes assembly map but moreover to be able to compute higher index pairing formulas in terms of pairings of invariant forms, associated to geometric cycles and given in terms of delocalized Chern and Todd classes, and currents naturally associated to group cocycles. I have given this talk twice online but never in onsite, I will take this opportunity to tell as well some progres that have followed from this work.
