The purpose is to present a survey (no details) within the noncommutative geometry framework of Connes on two different approaches for manifolds with boundaries. The objective is to construct spectral triples in two cases: the first one concerns the Boutet de Monvel boundary pseudodifferential calculus for real manifolds while the second pays attention the Cauchy-Riemann structures on pseudoconvex bounded domains with an application to the Berezin-Toeplitz quantization.
Aix-Marseille University and CNRS
Fri, 04/04/2014 - 2:00pm
RC-4082, The Red Centre, UNSW