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SUMMARY:Hyper-Lagrangians and Joyce structures - Timothy Moy (University o
 f Cambridge)
DTSTART:20240925T080000Z
DTEND:20240925T090000Z
UID:TALK219790@talks.cam.ac.uk
DESCRIPTION:Joyce structures were introduced by Bridgeland in work relatin
 g to Donaldson-Thomas invariants and bear resemblance to Frobenius structu
 res. We will discuss aspects of complex hyper-K&auml\;hler manifolds with 
 relevance to Joyce structures. We will define the notion of a projectable 
 hyper-Lagrangian foliation: a foliation by submanifolds which are Lagrangi
 an for the sphere of complex structures\, and which leads to a reduction o
 f Plebański&rsquo\;s equations. These foliations are a feature of many of
  the examples of Joyce structures constructed thus far. We will also consi
 der reductions of Plebański&rsquo\;s equations by the Euler vector field 
 associated to a Joyce structure.&nbsp\;
LOCATION:Seminar Room 2\, Newton Institute
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