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SUMMARY:Lorenzo Foscolo (University College London)
DTSTART:20210323T170000Z
DTEND:20210323T180000Z
DTSTAMP:20260423T022621Z
UID:Geolis/38
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geolis/38/">
 Twistor constructions of non-compact hyperkähler manifolds</a>\nby Lorenz
 o Foscolo (University College London) as part of Geometria em Lisboa (IST)
 \n\n\nAbstract\nThe talk is based on joint work with Roger Bielawski about
  twistor constructions of higher dimensional non-compact hyperkähler mani
 folds with maximal and submaximal volume growth. In the first part of the 
 talk\, based on arXiv:2012.14895\, I will discuss the case of hyperkähler
  metrics with maximal volume growth: in the same way that ALE spaces are c
 losely related to the deformation theory of Kleinian singularities\, we pr
 oduce large families of hyperkähler metrics asymptotic to cones exploitin
 g the theory of Poisson deformations of affine symplectic singularities. I
 n the second part of the talk\, I will report on work in progress about th
 e construction of hyperkähler metrics generalising to higher dimensions t
 he geometry of ALF spaces of dihedral type. We produce candidate holomorph
 ic symplectic manifolds and twistor spaces from Hilbert schemes of hyperto
 ric manifolds with an action of a Weyl group. The spaces we define are clo
 sely related to Coulomb branches of 3-dimensional supersymmetric gauge the
 ories.\n
LOCATION:https://researchseminars.org/talk/Geolis/38/
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