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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Higgs bundles and Hermitian symmetric spaces - Rub
 io\, R (Oxford)
DTSTART;TZID=Europe/London:20110627T144000
DTEND;TZID=Europe/London:20110627T151000
UID:TALK31897AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/31897
DESCRIPTION:We study the moduli space of polystable G-Higgs bu
 ndles for noncompact real Lie groups G of Hermitia
 n 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\, f
 or the maximal value of the Toledo invariant\, we 
 state a Cayley correspondence for groups of so-cal
 led tube type and point out a rigidity theorem for
  groups of so-called non-tube type. The proofs of 
 these results are based on the Jordan algebra stru
 cture related to the tangent space of the Hermitia
 n symmetric space given by G and are independent o
 f the classification theorem of Lie groups. (Joint
  work with O. Biquard and . Garca-Prada.)\n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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