26 apr 2019 -- 13:00
University Hradec Králové
Abstract.
In this talk we will discuss the classification of the canonical presentations of compact, simply-connected, almost effective, homogeneous spaces $M^8=G/H$ admitting invariant ${\rm Spin}(7)$-structures. For each such presentation, we shall present explicit examples of invariant ${\rm Spin}(7)$-structures and discuss their type in terms of the so-called Fernández classification.
(based on a joint work with D. Alekseevsky, A. Fino and A. Raffero)