Dr. José Vasquez, MPI Leipzig: "Isospectral nearly Kähler manifolds"
LMS 4 - Raum 312 - Diskussionsraum
In my talk I will give you an Ansatz to construct isospectral pairs of nearly Kähler manifolds in dimension higher than six as quotients of the Ledger-Obata space. The Ansatz is based on group representations of the symmetric group and some cohomological facts of this group. In stark contrast to higher dimensions, the given Ansatz does not produce examples in dimension six, dimension in which the mere construction of nearly Kähler manifolds remains being a big problem in the field.