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DTSTART:20210328T030000
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DTSTAMP:20260406T074842Z
UID:1616677200@ist.ac.at
DTSTART:20210325T140000
DTEND:20210325T160000
DESCRIPTION:Speaker: Oscar Garcia-Prada\nhosted by Tamas Hausel\nAbstract: 
 In this talk we study the fixed points under the action of the multiplicat
 ive group of non-vanishing complex numbers on moduli spaces of Higgs bundl
 es over a compact Riemann surface for complex semisimple Lie groups and th
 eir real forms. These fixed points are called Hodge bundles and correspond
  to complex variations of Hodge structure. We introduce a topological inva
 riant for Hodge bundles that generalizes the Toledo invariant appearing fo
 r Hermitian Lie groups. A main result to discuss is a bound on this invari
 ant which generalizes both the Milnor–Wood inequality of the Hermitian c
 ase\, and the Arakelov inequalities of classical variations of Hodge struc
 ture. When the generalized Toledo invariant is maximal\, we establish rigi
 dity results for the associated variations of Hodge structure which genera
 lize known rigidity results for maximal Higgs bundles and their associated
  maximal representations in the Hermitian case (based on joint work with O
 livier Biquard\, Brian Collier and Domingo Toledo).
LOCATION:https://mathseminars.org/seminar/AGNTISTA\, ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Oscar Garcia-Prada: Arakelov–Milnor inequalities and maximal vari
 ations of Hodge structure
URL:https://talks-calendar.ista.ac.at/events/3086
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