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SUMMARY:Rui Loja Fernandes (University of Illinois Urbana-Champaign)
DTSTART:20250612T093000Z
DTEND:20250612T103000Z
DTSTAMP:20260423T022720Z
UID:Geolis/171
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geolis/171/"
 >Extremal Kähler Metrics on Toric Lagrangian Fibrations</a>\nby Rui Loja 
 Fernandes (University of Illinois Urbana-Champaign) as part of Geometria e
 m Lisboa (IST)\n\n\nAbstract\nA toric Lagrangian fibration is a Lagrangian
  fibration whose singular fibers are all of elliptic type. I will begin by
  explaining how such fibrations can be viewed as Hamiltonian spaces associ
 ated with symplectic torus bundles. I will then discuss a generalization t
 o this class of fibrations of the Abreu–Guillemin–Donaldson theory of 
 extremal Kähler metrics on toric symplectic manifolds. Integral affine ge
 ometry plays a central role in this generalization\, as the Delzant polyto
 pe is replaced by a more general domain contained in an integral affine ma
 nifold. This talk is based on on-going work with Miguel Abreu and Maarten 
 Mol.\n
LOCATION:https://researchseminars.org/talk/Geolis/171/
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