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SUMMARY:Alessia Mandini (UFF)
DTSTART:20200923T183000Z
DTEND:20200923T200000Z
DTSTAMP:20260423T021728Z
UID:BRAG/24
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BRAG/24/">Qu
 asi-parabolic Higgs bundles and null hyperpolygon spaces</a>\nby Alessia M
 andini (UFF) as part of Brazilian algebraic geometry seminar\n\n\nAbstract
 \nHyperpolygons spaces are a family of hyperkähler manifolds\, that can b
 e obtained from coadjoint orbits by hyperkähler reduction. Jointly with L
 . Godinho\, we showed that these spaces are isomorphic to certain families
  of parabolic Higgs bundles\, when a suitable condition between the parabo
 lic weights and the spectra of the coadjoint orbits is satisfied.\n\nIn an
 alogy to this construction\, we introduce two moduli spaces: the moduli sp
 aces of quasi-parabolic $SL(2\,\\mathbb{C})$-Higgs bundles over $\\mathbb{
 C}\\mathbb{P}^1$ on one hand and the null hyperpolygon spaces on the other
 \, and establish an isomorphism between them.\n\nFinally we describe the f
 ixed loci of natural involutions defined on these spaces and relate them t
 o the moduli space of null hyperpolygons in the Minkowski 3-space.\n\nThis
  is based on joint works with Leonor Godinho.\n
LOCATION:https://researchseminars.org/talk/BRAG/24/
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