Singular Riemannian Foliations and Lie Groupoids

Início: 09/10/2020 17:00

Término: 09/10/2020 18:00

Palestrante: Ivan Struchiner (Universidade de São Paulo)

E-mail do Palestrante:

Resumo: I will discuss the problem of obtaining a "Holonomy Groupoid" for a singular Riemannian foliation (SRF). Throughout the talk I will try to explain why we want to obtain such a Lie groupoid by stating results which are valid for regular foliations and how they can be obtained from the Holonomy groupoid of the foliation. Although we do not yet know how to associate a holonomy groupoid to any SRF, we can obtain the holonomy groupoid of the linearization of the SRF in a tubular neighbourhood of (the closure of) a leaf. I will explain this construction. I will not assume that the audience has prior knowledge of Singular Riemannian Foliations or of Lie Groupoids and will try to make the talk accessible to a broad audience.