Department of Mathematics

Johannes Horn, Universität Heidelberg: "Limiting configurations over the singular locus of the Hitchin map"

Nov 29, 2018 from 04:15 PM to 05:45 PM

LMS 4 - Raum 526 - Übungsraum


In the work of Mazzeo, Swoboda, Weiss and Witt solutions to the decoupled Hitchin equation became prominent as so-called Limiting Configurations - limits of rays to the ends of the Hitchin moduli space. Over the regular locus of the Hitchin map, they were constructed by pushforward of Hermitian-Einstein metrics along the spectral cover. We will review this construction and explain how to generalize it to singular Hitchin fibres.


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