SKT structures on nilmanifolds

Início: 08/04/2022 17:00

Término: 08/04/2022 18:00

Palestrante: Romina M. Arroyo (UNC)

E-mail do Palestrante: romina.arroyo@gmail.com

Resumo: A $J$-Hermitian metric $g$ on a complex manifold $(M,J)$ is called strong Kähler with torsion (SKT for short) if its $2$-fundamental form $omega:=g(Jcdot,cdot)$ satisfies $partial bar partial omega =0$. The aim of this talk is to discuss the existence of invariant SKT structures on nilmanifolds. We will prove that any nilmanifold admitting an invariant SKT structure is either a torus or $2$-step nilpotent, and we will provide examples of invariant SKT structures on $2$-step nilmanifolds in arbitrary dimensions. This talk is based on a joint work with Marina Nicolini.