Seminari ‘Deformations of compact foliations’ a càrrec de Matias del Hoyo (Universidade Federal Fluminense)

Feb 7, 2019


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Seminari de Geometria de la UAB
Ponent: Matias del Hoyo (Universidade Federal Fluminense)
Visitant del CRM dins la Convocatòria Lluís Santaló finançada per l’Institut d’Estudis Catalans
Data: 14/02/2019, 12:00
Lloc: CRM, Aula A1 (C3b/-102)
Títol: Deformations of compact foliations

Summary: In a recent work with R. Fernandes we show that a compact Hausdorff foliation over a compact connected manifold is rigid, in the sense that every one-parameter deformation of it must be trivial. We study the foliation by using the Lie theory of Lie groupoids and Lie algebroids. A foliation is an example of a Lie algebroid and it can always be integrated to its so-called holonomy groupoid. In this talk I will present the theorem and illustrate with examples, provide a glimpse on Lie groupoids and Lie algebroids, and discuss a sketch of our proof.