EVENT DETAILS AND ABSTRACT

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

A fundamental result of Donaldson-Sun states that non-collapsed Gromov-Hausdorff limits of polarized K\"ahler manifolds, with 2-sided Ricci curvature bounds, are normal projective varieties. We extend their approach to the setting where only a lower bound for the Ricci curvature is assumed. More precisely, we show that non-collapsed Gromov-Hausdorff limits of polarized K\"ahler manifolds, with Ricci curvature bounded below, are normal projective varieties. In addition the metric singularities are precisely given by a countable union of analytic subvarieties. This is a joint work with Gabor Szekelyhidi.​​