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SUMMARY:Representations of surface groups and Higgs bundles - I - Gothen\,
  P (Universidade do Porto)
DTSTART:20110107T100000Z
DTEND:20110107T110000Z
UID:TALK28718@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Classical Hodge theory uses harmonic forms as preferred repres
 entatives of cohomology classes. A representation of the fundamental group
  of a Riemann surface gives rise to a corresponding flat bundle. A Theorem
  of Donaldson and Corlette shows how to find a harmonic metric in this bun
 dle. A flat bundle corresponds to class in first non-abelian cohomology an
 d the Theorem can be viewed as an analogue of the classical representation
  of de Rham cohomology classes by harmonic forms.
LOCATION:Seminar Room 1\, Newton Institute
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