SIMBa: Cohomogeneity one – From PDEs to groups and ODEs

Dimecres 20 de desembre se celebrarcelebrarà una xerrada del Seminari Informal de Matemàtiques de Barcelona (SIMBa).

Conferenciant: Enric Solé Farré.
Universitat: Imperial College London – University College London.

Data: Dimecres, 20 de desembre de 2023.
Hora: 11:40, pausa pel cafè; 11:00, xerrada.
Lloc: UB (FMI aula B1) and Zoom.
Idioma: Anglès.

Títol: Cohomogeneity one – From PDEs to groups and ODEs.

Resum: One of the main problems in differential geometry is solving PDEs involving different geometric quantities. Solutions to most of these PDEs are hard to come by, and one is often forced to reduce to very symmetric scenarios to find examples of solutions. I will first revise some instances of the case with maximal symmetry: homogeneous space; before moving to the cohomogeneity one case. The driving PDE examples will be the Einstein equation and the exceptional holonomy conditons.