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Room P3.10, Mathematics Building

Jihun Park, Pohang University of Science and Technology

Kahler-Einstein metrics on Fano manifolds

Tian and Yau have introduced alpha-invariants in order to study Kahler-Einstein metrics on Fano manifolds. Later, Kollar and Demailly showed that the alpha-invariant can be translated into log canonical threshold, an important invariant in birational geometry. I will briefly explain the relation between Kahler-Einstein metric and log canonical threshold and then study examples to show how to compute the alpha-invariants using log canonical thresholds.