BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Oscar Garcia-Prada (ICMAT) DTSTART:20211118T150000Z DTEND:20211118T160000Z DTSTAMP:20260423T021355Z UID:ZAG/165 DESCRIPTION:Title: Hi ggs bundles and higher Teichmüller spaces\nby Oscar Garcia-Prada (ICM AT) as part of ZAG (Zoom Algebraic Geometry) seminar\n\n\nAbstract\nIt is well-known that the Teichmüller space of a compact real surface can be id entified with a connected component of the moduli space of representations of the fundamental group of the surface in PSL(2\,R). Higher Teichmüller spaces are generalizations of this\, where PSL(2\,R) is replaced by cert ain simple non-compact real Lie groups of higher rank. As for the usual Te ichmüller space\, these spaces consist entirely of discrete and faithful representations. Several cases have been identified over the years. First\ , the Hitchin components for split groups\, then the maximal Toledo invari ant components for Hermitian groups\, and more recently certain components for SO(p\,q). In this talk\, I will describe a general construction of al l possible higher Teichmüller spaces\, and a parametrization of them usin g the theory of Higgs bundles\, given in joint work with Bradlow\, Collier \, Gothen and Oliveira.\n LOCATION:https://researchseminars.org/talk/ZAG/165/ END:VEVENT END:VCALENDAR