Differential Geometry Seminar: Gromov-Hausdorff limits of Kähler manifolds with Ricci curvature bounded below

Seminar | September 10 | 3:10-4 p.m. | 939 Evans Hall

 Gang Liu, Northwestern

 Department of Mathematics

A fundamental result of Donaldson-Sun states that noncollapsed Gromov-Hausdorff limits of polarized Kähler manifolds, with two-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 noncollapsed Gromov-Hausdorff limits of polarized Kähler 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.

 lott@math.berkeley.edu