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Seminar
Boundedness of singularities and discreteness of local volumes
Speaker
Ziquan Zhuang (Johns Hopkins)
Date
Fri, Oct 11 2024, 12:00pm
Location
383N
The local volume of a Kawamata log terminal (klt) singularity is an invariant that plays a central role in the local theory of K-stability. By the stable degeneration theorem, every klt singularity has a volume preserving degeneration to a K-semistable Fano cone singularity. I will talk about a joint work with Chenyang Xu on the boundedness of Fano cone singularities when the volume is bounded away from zero. This implies that local volumes only accumulate around zero in any given dimension.