Totally geodesic submanifolds in exceptional symmetric spaces (Alberto Rodríguez Vázquez)

Speaker:   Alberto Rodríguez Vázquez (KU Leuven)

Abstract:   The problem of classifying totally geodesic submanifolds in symmetric spaces has been a relevant topic of research in submanifold geometry in the last decades. This was started in 1963 by Wolf. In this seminal paper, the author classified these objects in symmetric spaces of rank one. For rank two this problem has been addressed by Chen and Nagano, and Klein. Up to now, there are only complete classifications in symmetric spaces of rank less than three.
In this talk, I will report on a joint work with A. Kollross (Universität Stuttgart) where we classify maximal totally geodesic submanifolds in exceptional symmetric spaces.