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SUMMARY:Higgs bundles and Hermitian symmetric spaces - Rubio\, R (Oxford)
DTSTART:20110627T134000Z
DTEND:20110627T141000Z
UID:TALK31897@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We study the moduli space of polystable G-Higgs bundles for no
 ncompact real Lie groups G of Hermitian type. First\, we define the Toledo
  character and use it to define the Toledo invariant\, for which a Milnor-
 Wood type inequality is proved. Then\, for the maximal value of the Toledo
  invariant\, we state a Cayley correspondence for groups of so-called tube
  type and point out a rigidity theorem for groups of so-called non-tube ty
 pe. The proofs of these results are based on the Jordan algebra structure 
 related to the tangent space of the Hermitian symmetric space given by G a
 nd are independent of the classification theorem of Lie groups. (Joint wor
 k with O. Biquard and . Garca-Prada.)\n
LOCATION:Seminar Room 1\, Newton Institute
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