Ziwen Zhu, Equivariant K-stability under finite group action
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Equivariant K-stability is defined via equivariant test configurations. By definition it is weaker than the usual K-stability and for varieties with large symmetry, it is often easier to check equivariant K-stability. For reductive group action, it is conjectured that equivariant K-polystability implies K-polystability. In this talk, I will discuss recent results about equivariant K-stability and present a proof of the conjecture for finite group action. The talk is based on joint work with Yuchen Liu.
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