BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Asymptotic geometry of the Hitchin moduli space Swoboda, Jan


In this talk I will explain recent joint work with Rafe Mazzeo, Hartmut Weiss and Frederik Witt on the asymptotics of the natural $L^2$ metric on the Hitchin moduli space of rank-$2$ Higgs bundles. It will be shown that on the regular part of the Hitchin fibration this metric is well-approximated by the so-called semiflat metric coming from the algebraic completely integrable system moduli space is endowed with. This result confirms some aspects of a more detailed conjectural picture made by Gaiotto, Moore and Neitzke.

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