Mauricio Godoy - On the Rumin-Ge complex

Speaker: Mauricio Godoy (PhD student, UiB)

Title: "On the Rumin-Ge complex"

Abstract: On the famous survey "Carnot-Carathéodory spaces seen from within", Mikhail Gromov proposes, among other ideas, a theory of horizontal differential forms for contact manifolds. This approach was subsequently explored by Michel Rumin, and extended (in a "non-canonical" way) to more general classes of sub-Riemannian manifolds by Zhong Ge. In this seminar I will present some of the basic constructions and ideas behind the theory and we will see how these give a natural environment for a Hodge theory on sufficiently nice sub-Riemannian manifolds.