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Higgs bundles and Hermitian symmetric spaces

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If you have a question about this talk, please contact Mustapha Amrani .

Moduli Spaces

We study the moduli space of polystable G-Higgs bundles for noncompact 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 type. 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 and are independent of the classification theorem of Lie groups. (Joint work with O. Biquard and . Garca-Prada.)

This talk is part of the Isaac Newton Institute Seminar Series series.

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Lady Mitchell Hall, Sigdwick Avenue, Cambridge Wolfson Lecture Theatre, Yusuf Hamied Department of Chemistry Large Seminar Room, Institute of Public Health, University of Cambridge Forvie Site, Robinson Way Cambridge, CB2 0SR

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