Reductivity of the automorphism group of K-polystable Fano varieties
Jarod Alper (University of Washington)

I'll report on recent joint work with Blum, Halpern-Leistner and Xu where we establish that the automorphism group of a K-polystable Fano variety is reductive. In this talk, we will discuss the notion of S-completeness and its connection to reductivity. We will show how the condition of S-completeness for the moduli of log Fanos reduces to the finite generation of a certain ring.

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