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### Kaehler-Einstein metrics and higher alpha-invariants

**Geometry/Topology**

Speaker: | Heather Macbeth, Massachusetts Institute of Technology |

Location: | 2112 MSB |

Start time: | Tue, Mar 1 2016, 1:10PM |

I will describe a condition on the Bergman metrics of a Fano manifold M, which guarantees the existence of a Kaehler-Einstein metric on M. I will also discuss a conjectural relationship between this condition and M's higher alpha-invariants \alpha_{m,k}(M), analogous to a 1991 theorem of Tian for \alpha_{m,2}(M).