Izar Alonso will talk online in the geometry seminar on 11/14/2022. The talk will be held on Teams. Izar’s title is “Balanced SU(3)-structures and coclosed G_2-structures in cohomogeneity one manifolds” and her abstract is below.

*When considering compactifications of heterotic string theory, systems of PDEs involving special geometric structures arise. In this talk, we will describe heterotic systems in six and seven dimensions and then study the existence of the G-structures required by them in the cohomogeneity one setting.In the first part of the talk, we provide a non-existence result for balanced non-Kähler SU(3)-structures which are invariant under a cohomogeneity one action on a simply connected six-manifold. In the second part, we find a family of coclosed G_2-structures on certain seven-dimensional cohomogeneity one manifolds. The first part of this talk is based on a joint work with F. Salvatore.*