Hartmut Weiss will speak in the geometry seminar at 2pm on 15/11/2022. Hartmut’s title is “Parabolic Higgs bundles and gravitational instantons” and his abstract is below.
I will review recent progress on the classification of gravitational instantons, i.e. 4-dimensional complete hyperkähler manifolds with curvature in L^2. Then I will describe how moduli spaces of parabolic Higgs bundles fit into this classification scheme. This is joint work with Laura Fredrickson, Rafe Mazzeo and Jan Swoboda.