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Title:
Hyperholomorphic Line Bundles and Energy Functionals

Speaker:
Florian Beck

Abstract:
Hyperkähler (HK) manifolds have attracted a lot of attention both by mathematicians and physicists due to their rich and intricate structure. Most prominently, they come equipped with three complex structures satisfying the quaternionic relations. Even though an HK manifold M is a differential-geometric object, the HK structure can be encoded in one complex-analytic object, the twistor space Z of M. By construction, it fibers over the complex line and the sections of this fibration provide the link to the HK structure on M.

Link:
http://scgp.stonybrook.edu/video_portal/video.php?id=3983

Workshop:
Simons- Geometry and Physics of Hitchin Systems: January 22 - June 21, 2019