Totally geodesic submanifolds in homogeneous spaces diffeomorphic to CROSSes

11 Dec 2025

16:00 h

Aula 5 da Facultade de Matemáticas, USC

CITMAga

"Totally geodesic submanifolds in homogeneous spaces diffeomorphic to CROSSes", organizado polo CITMAga. Será impartido por Andreas Vermeiren (KU Leuven).

Data: Xoves 11 de decembro de 2025.

Hora: 16:00 h.

Lugar: Aula 5 da Facultade de Matemáticas, USC.

Abstract: We provide tools for studying totally geodesic submanifolds in homogeneous spaces. We then specialize to the case of homogeneous spaces that are diffeomorphic to compact rank one symmetric spaces (CROSSes). As a result, we obtain some classification results for totally geodesic submanifolds in complex projective spaces and spheres equipped with an arbitrary Sp(n)-invariant homogeneous metric. This talk is based on an ongoing joint work with Michaël Liefsoens and Alberto Rodríguez Vázquez.