Nov 08, 2016 from 03:15 PM to 04:45 PM

Abstract:

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.

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