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SUMMARY:Geometry and Dynamics of Cyclic Higgs Bundles in the Slodowy Slice
 s
DTSTART:20251110T150000Z
DTEND:20251110T161500Z
DTSTAMP:20260504T084600Z
UID:indico-event-15174@indico.math.cnrs.fr
CONTACT:cecile@ihes.fr
DESCRIPTION:Speakers: Samuel Bronstein (MPIMS Leipzig)\n\nThe nonabelian H
 odge correspondence provides a parametrization of the character variety of
  a surface group in a semisimple Lie group G by objects called Higgs bund
 les (which we will introduce). Among them\, cyclic Higgs bundles stand out
  as candidates for representations with strong geometric properties. The S
 lodowy slice is a natural set of deformations of a Fuchsian representation
  in G\, whose properties are yet to be described. In this talk\, I will pr
 esent some cases in which we are able to prove that representations in the
  cyclic Slodowy slice are Anosov\, hence discrete and faithful\, and corre
 spond to some geometric structure that we describe. This is joint work wit
 h Colin Davalo and Qiongling Li.\n \n\nhttps://indico.math.cnrs.fr/event/
 15174/
LOCATION:Amphithéâtre Léon Motchane (IHES)
URL:https://indico.math.cnrs.fr/event/15174/
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