Lagrangian fibrations on hyperkahler manifolds (Daniel Greb)

51 mins 26 secs,  417.12 MB,  WebM  640x360,  29.97 fps,  44100 Hz,  1.08 Mbits/sec
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Created: 2012-04-24 09:10
Collection: Workshop on Kahler Geometry
Publisher: University of Cambridge
Copyright: Dr J. Ross
Language: eng (English)
Distribution: World     (downloadable)
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Author:  Daniel Greb
Categories: iTunes - Mathematics - Geometry
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Aspect Ratio: 16:9
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Abstract: The general fibre of a Lagrangian fibration on a hyperkahler manifold is a Lagrangian torus. It is a question of Beauville whether any Lagrangian torus in a hyperkahler manifold arises in this way.

In my talk, I will describe recent joint work with Christian Lehn and Sonke Rollenske giving a positive answer to Beauville’s question in the non-projective case. Furthermore, I will derive a criterion for the existence of a Lagrangian fibration in the projective case, which has recently been used by Jun-Muk Hwang to provide a positive answer to Beauville’s question for projective hyperkahler manifolds.
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