Each year, the University of Stuttgart awards prizes for excellent publication from the university’s ten faculties. In the Faculty of Mathematics and Physics, Prof. Dr. Andreas Kollross received the publication award for his publication "Totally geodesic submanifolds in exceptional symmetric spaces". The award was presented on the "Research Day" on 26.06.2024.
Abstract: We classify maximal totally geodesic submanifolds in exceptional symmetric spaces up to isometry. Moreover, we introduce an invariant for certain totally geodesic embeddings of semisimple symmetric spaces, which we call the Dynkin index. We prove a result analogous to the index conjecture: for every irreducible symmetric space of non-compact type, there exists a totally geodesic submanifold which is of minimal codimension and whose non-flat irreducible factors have Dynkin index equal to one.
A joint work with Alberto Rodríguez-Vázquez.
