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SUMMARY:Daniele Alessandrini (Columbia University)
DTSTART:20210907T153000Z
DTEND:20210907T163000Z
DTSTAMP:20260423T022626Z
UID:Geolis/55
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Geolis/55/">
 The nilpotent cone in rank one and minimal surfaces</a>\nby Daniele Alessa
 ndrini (Columbia University) as part of Geometria em Lisboa (IST)\n\n\nAbs
 tract\nI will describe two interesting and closely related moduli spaces: 
 the nilpotent cone in the moduli spaces of Higgs bundles for SL_2(C) and P
 SL_2(C)\, and the moduli space of equivariant minimal surfaces in the hype
 rbolic 3-space.\nA deep understanding of these objects is important becaus
 e of their relations with several fundamental constructions in geometry: s
 ingular fibers of the Hitchin fibration\, branes\, mirror symmetry\, branc
 hed hyperbolic structures\, minimal surfaces in hyperbolic 3-manifolds and
  so on.\n\nA stratification of the nilpotent cone is well known and was re
 discovered by many people. The closures of the strata are the irreducible 
 components of the nilpotent cone. The talk will focus on describing the in
 tersections between the different irreducible components.\n\nThis is joint
  work with Qiongling Li and Andrew Sanders\n
LOCATION:https://researchseminars.org/talk/Geolis/55/
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