14 oct 2020 -- 14:00
Check https://sites.google.com/prod/view/geometrywithsymmetries for the link to zoom.
Abstract.
In this talk I will consider 7-manifolds endowed with a closed G2-structure and having a large symmetry group. In the compact case, I will discuss the properties of the full automorphism group of a closed G2-structure, showing how they impose strong constraints on the construction of homogeneous and cohomogeneity one examples. In the non-compact case, I will first give a brief overview of known examples and then I will describe the classification of 7-manifolds with a closed G2-structure that are homogeneous under the action of a reductive Lie group. This is joint work with F. Podestà.