Speaker: Christoph Bohm
Affiliation: Muenster University, Germany


We will report on recent progress concerning the classification of homogeneous Einstein manifolds. If the Einstein constant for such a Riemannian metric is negative, then in recent joint work with R. Lafuente we could show that the underlying manifold must be diffeomorphic to a Euclidean space, confirming the famous Alekseevskii conjecture from 1975. In the Ricci flat case it is a classical result that such homogeneous Einstein metrics must be flat. The case when the Einstein constant is positive is wide open, even though there exist general existence and non-existence results.

This will be the first talk for the workshop "Differential Geometry days at UQ", you can find the schedule for all the other talks on this website. The workshop talks will of course be more technical, we still encourage you to come and support some of our young local speakers. 

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.


Priestley Building (67)
442 (and via Zoom: https://uqz.zoom.us/j/87108421269)