K-stability of smooth Fano threefolds

Ivan Cheltsov (University of Edinburgh)

Wednesday 11th March, 2020 16:00-17:00 Maths 311B


By a famous result of Chen, Donaldson and Sun, a smooth Fano manifold is Kahler-Einstein if and only if it is K-polystable (K-stable if the automorphism group is finite). We know a complete list of K-stable and K-polystable two-dimensional Fano manifolds (known as del Pezzo surfaces). In this talk, we will describe what is known and what is not known about K-stability of three-dimensional Fano manifolds (Fano threefolds).

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