BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Alessia Mandini (IST and Universidade Federal Fluminense) DTSTART:20200616T160000Z DTEND:20200616T170000Z DTSTAMP:20260423T022627Z UID:Geolis/5 DESCRIPTION:Title: Q uasi-parabolic Higgs bundles and null hyperpolygon spaces\nby Alessia Mandini (IST and Universidade Federal Fluminense) as part of Geometria em Lisboa (IST)\n\n\nAbstract\nHyperpolygons spaces are a family of hyperkäh ler manifolds\, that can be obtained from coadjoint orbits by hyperkähler reduction. Jointly with L. Godinho\, we showed that these space are isomo rphic to certain families of parabolic Higgs bundles\, when a suitable con dition between the parabolic weights and the spectra of the coadjoint orbi ts is satisfied.\n\nIn analogy to this construction\, we introduce two mod uli spaces: the moduli spaces of quasi-parabolic $SL(2\,\\mathbb{C})$-Higg s bundles over $\\mathbb{CP}^1$ on one hand and the null hyperpolygon spac es on the other\, and establish an isomorphism between them.\nFinally we d escribe the fixed loci of natural involutions defined on these spaces and relate them to the moduli space of null hyperpolygons in the Minkowski $3$ -space.\n\nThis is based in joint works with Leonor Godinho.\n LOCATION:https://researchseminars.org/talk/Geolis/5/ END:VEVENT END:VCALENDAR