Lie groupoids and singular Riemannian foliations

Início: 09/09/2022 17:00

Término: 09/09/2022 18:00

Palestrante: Ivan Struchiner (USP)

E-mail do Palestrante: ivanstru@usp.br

Resumo: I will discuss some aspects of the interplay between Lie groupoids and singular Riemannian foliations. To each singular Riemannian foliation we associate a linear holonomy groupoid to a neighbourhood of each leaf. This groupoid is a dense subgroupoid of a proper Lie groupoid. On the other hand, Lie groupoids with compatible metrics give rise to singular Riemannian foliations. We discuss how far these groupoids are from being a dense subgroupoid of a proper Lie groupoid. The talk will be based on joint work with Marcos Alexandrino, Marcelo Inagaki and Mateus de Melo.