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Intro Talk: Kaehler-Einstein metrics and higher alpha-invariants
Student-Run Geometry/Topology Seminar| Speaker: | Heather Macbeth, Massachusetts Institute of Technology |
| Location: | 2112 MSB |
| Start time: | Tue, Mar 1 2016, 11:00AM |
This is an intro talk for the afternoon seminar. 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).