EVENT DETAILS AND ABSTRACT

Title: Gromov-Hausdorff limits of Kahler manifolds with Ricci curvature bounded below
Speaker: Gang Liu
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Abstract:

A famous result of Donaldson-Sun states that non-collapsed Gromov-Hausdorff limits of polarized K\"ahler manifolds, with 2-side Ricci curvature bounds are homeomorphic to normal projective varieties. Following their approach, we remove the upper bound of the Ricci curvature. More precisely, we prove that non-collapsed Gromov-Hausdroff limits of polarized K\"ahler manifolds, with Ricci curvature bounded below are normal projective varieties, and the metric singularities are precisely given by a countable union of analytic subvarieties. The work is joint with Gabor Szekelyhidi.