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SUMMARY:Martin Ulirsch (Frankfurt)
DTSTART:20210603T120000Z
DTEND:20210603T130000Z
DTSTAMP:20260423T024835Z
UID:notts_ag/60
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/notts_ag/60/
 ">Parabolic Higgs bundles on toric varieties</a>\nby Martin Ulirsch (Frank
 furt) as part of Online Nottingham algebraic geometry seminar\n\n\nAbstrac
 t\nIn this talk I will explain a version of Simpson’s non-abelian Hodge 
 correspondence on a toric variety X. There is a natural 1-1 correspondence
  between stable parabolic Higgs bundles on X and irreducible representatio
 ns of the fundamental group of the big torus. This correspondence reduces 
 to a correspondence between toric vector bundles and integral unitary repr
 esentations in a suitable sense. In this story the spherical Tits building
  will have a surprise appearance. The main result suggests (at least to me
 ) that there is a yet-to-be-discovered logarithmic incarnation of the non-
 abelian Hodge correspondence.\n
LOCATION:https://researchseminars.org/talk/notts_ag/60/
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