Algebraic Geometry Seminar

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Applications of singular Kähler-Einstein metrics in algebraic geometry

Speaker: Henri Guenancia

Location: Warren Weaver Hall 317

Date: Tuesday, December 11, 2018, 3:30 p.m.

Synopsis:

If X is a compact Kähler manifold, then the existence of a Kähler-Einstein metric on X yields a lot of interesting properties for the tangent bundle T_X, among which stability, Chern numbers inequalities or vanishing/parallelism of holomorphic tensors. I will explain how to generalize these results to singular projective varieties in a suitable sense. This relies partially on joint works with B. Taji and D. Greb & S. Kebekus.