Automorphism groups of Fano threefolds

Konstantin Shramov (Higher School of Economics, Moscow)

Frank Adams 1,

I will survey different results concerning automorphism groups of smooth Fano threefolds of Picard rank 1. In particular, I will discuss the action of automorphism groups on Hilbert schemes of lines and conics, and show that the automorphism group of a smooth Fano threefold of Picard rank 1 is finite except for a handful of explicitly described cases. The talk is based on a joint work with A.Kuznetsov and Yu.Prokhorov.

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