Gravitational instantons and Hitchin moduli spaces

Seminar series

Geometry and Analysis Seminar

Date

Mon, 27 Apr 2026
14:15

Location

Speaker

Hartmut Weiss

Organisation

Universität Kiel

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Gravitational instantons are complete 4-dimensional hyperkähler manifolds with square-integrable curvature tensor. I will address the question whether all gravitational instantons (of type ALG) can be obtained as Hitchin moduli spaces. In particular, I will explain how to compute the (hyperkähler) Torelli map for (weakly) parabolic Higgs bundles on the 4-punctured sphere. This is based on recent joint work with Fredrickson, Mazzeo and Swoboda.