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SUMMARY:Olivier Martin (IMPA)
DTSTART:20241213T160000Z
DTEND:20241213T171500Z
DTSTAMP:20260423T024615Z
UID:CIRGET/129
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CIRGET/129/"
 >Isotrivial Lagrangian fibrations of hyper-Kähler manifolds of K3^[n] and
  Kum_n type</a>\nby Olivier Martin (IMPA) as part of CRM - Séminaire du C
 IRGET / Géométrie et Topologie\n\nLecture held in PK-5115.\n\nAbstract\n
 I will present a classification result for Lagrangian fibrations of hyper-
 Kähler manifolds of K3^[n] and Kum_n types up to Tate-Shafarevich twist/d
 egenerate twistor deformation. This improvement on the work of Markman is 
 made possible by a recent breakthrough of Verbitsky-Soldatenkov which ensu
 res that a degenerate twistor deformation of a Lagrangian fibration is Kä
 hler. As a consequence\, we prove that the only isotrivial Lagrangian fibr
 ations of hyper-Kähler manifolds of K3^[n] and Kum_n type are the obvious
  ones. This is joint work with Yoonjoo Kim and Radu Laza.\n
LOCATION:https://researchseminars.org/talk/CIRGET/129/
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