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Startpage > News > Calendar of Events > Self-dual manifolds


Self-dual manifolds, twistors, and hyperbolic monopoles

Antrittsvorlesung, 20.11.12


The original twistor construction of Roger Penrose provided an algebro-geometric description of self-dual 4-manifolds. In the intervening years, there are appeared twistorial descriptions of many other differential-geometric objects. A particularly nice class of self-dual Einstein metrics has been constructed by Hitchin. These metrics have relations with several areas of mathematics: Poncelet polyogons, Painlevé equations, isomonodronomic deformations and, mysteriously, hyperbolic monopoles. It turns out that this last relation is a consequence of a new type of geometry on the moduli space of hyperbolic monopoles. This geometry leads then to a construction which provides many new examples of self-dual manifolds.


Prof. Dr. Roger Bielawski


FakultĂ€t fĂŒr Mathematik und Physik


Dienstag, 20. November 2012, 17:15 bis 19:00 Uhr


HauptgebÀude (GebÀude 1101, Kleiner Physikhörsaal (F342))
Welfengarten 1, 30167 Hannover

Ein Verschieben des Kartenausschnitts ist mit gedrückter Maustaste möglich.

Die Karte wurde uns freundlicherweise von Herrn Dr. Tobias Dahinden, Institut für Kartographie und Geoinformatik zur Verfügung gestellt.