Speaker: Romina M. Arroyo
Affiliation: UN Córdoba
Abstract
A very active research field in complex geometry arises from imposing Hermitian metrics with special properties. One of the most studied cases is the one of "strong Kähler with torsion" (SKT for short) geometry.
In this talk, we will introduce SKT Hermitian manifolds, with a particular emphasis on invariant SKT structures on Lie groups. After that, we will discuss the existence of invariant SKT structures on nilmanifolds. More precisely, we will prove that an invariant SKT structure on a nilmanifold forces the nilmanifold to be at most 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.
About Pure mathematics seminars
We present regular seminars on a range of pure mathematics interests. Students, staff and visitors to UQ are welcome to attend, and to suggest speakers and topics.
Seminars are usually held on Tuesdays from 2 to 3pm.
Talks comprise 45 minutes of speaking time plus five minutes for questions and discussion.
Information for speakers
Researchers in all pure mathematics fields attend our seminars, so please aim your presentation at a general mathematical audience.
Contact us
To volunteer to talk or to suggest a speaker, email Ole Warnaar or Ramiro Lafuente.
Venue
Room: 442