15.05.2024, 14:00 - 16 00
– Campus Golm, Building 9, Room 2.22 and via Zoom
Institutskolloquium
Colloquium with Karen Strung (Prag) and Sven Raum (Potsdam)
Karen Strung (Prag), Sven Raum (Potsdam)
Andrea Spiro (Università di Camerino)
An instanton on a quaternionic Kähler manifold is a connection on a principle bundle, whose curvature is pointwise adapted to the quaternionic structure of the tangent space.
These instantons are special solutions to the Yang-Mills equations and are natural generalisations of the anti-self-dual solutions to the Yang-Mills equations on S4, fully classified by Atiyah-Drinfeld-Hitchin-Manin in the '80s.
We are going to present a novel approach which provides a complete (local) description of each instanton on a quaternionic Kaehler manifold in terms of a single complex function, the prepotential.
This approach yields radical simplifications and immediate generalisations of important results like Uhlenbeck's Compactness Theorem for Yang-Mills fields.