Spectral data for principal Higgs bundles
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Fri, 20/05/2011 12:00 |
Laura Schaposnik (University of Oxford) |
Junior Geometry and Topology Seminar  |
SR1 |
| In this talk I shall present some ongoing work on principal G-Higgs bundles, for G a simple Lie group. In particular, we will consider two non-compact real forms of GL(p+q,C) and SL(p+q,C), namely U(p,q) and SU(p,q). By means of the spectral data that principal Higgs bundles carry for these non-compact real forms, we shall give a new description of the moduli space of principal U(p,q) and SU(p,q)-Higgs bundles. As an application of our method, we will count the connected components of these moduli spaces. | |||