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Geometrical finiteness for automorphism groups via cone conjecture

组织者

范祐维

演讲者

Kohei Kikuta

时间

2024年10月23日 13:30 至 15:30

地点

A3-2a-302

线上

Zoom 815 762 8413 (BIMSA)

摘要

Geometrical finiteness is one of the central notions in the study of Kleinian groups. In this talk, we explain the geometrical finiteness for the natural isometric actions of automorphism groups on the hyperbolic spaces for K3 surfaces, Enriques surfaces, Coble surfaces, and irreducible symplectic varieties. Then the cone conjecture is a key to the proof. If time permits, some applications for K3 surfaces will be discussed.