Lagrangian fibrations on hyperkahler manifolds (Daniel Greb)
Duration: 51 mins 25 secs
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About this item
| Description: | (No description) |
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| Created: | 2012-04-24 09:10 | ||
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| Collection: | Workshop on Kahler Geometry | ||
| Publisher: | University of Cambridge | ||
| Copyright: | Dr J. Ross | ||
| Language: | eng (English) | ||
| Credits: |
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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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