Department of Mathematics

Prof. Steven Rayan, University of Saskatchewan, Saskatoon, Kanada: "Higgs bundles and the Hitchin system"

Jun 15, 2017 from 04:15 PM to 05:45 PM

LMS 4 - Raum 526 - Übungsraum

Abstract:  I will give an informal introduction to the Hitchin system, an object lying at the crossroads of geometry and physics. As a moduli space, the Hitchin system parametrizes semistable Higgs bundles on a Riemann surface up to equivalence. From this point of view, the Hitchin map and spectral curves emerge. I will use these to form an impression of what the moduli space "looks like". I will also outline the appearances of the Hitchin system in dynamics, hyperkähler geometry, and mirror symmetry.

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