Geometrical finiteness for automorphism groups via cone conjecture

Time：Wednesday 14:30-15:30 Oct. 23, 2024

Venue：Zoom Meeting ID: 815 762 8413 Passcode: BIMSA

Organizer：Yu-Wei Fan (YMSC)

Speaker：Kohei Kikuta

BIMSA-YMSC Geometry and Dynamics Seminar

Organizer：

Yu-Wei Fan (YMSC)

Speaker：

Kohei Kikuta (Osaka University/University of Edinburgh)

Time：

Wednesday 14:30-15:30

Oct. 23, 2024

Online：

Zoom Meeting ID: 815 762 8413

Passcode: BIMSA

Title：

Geometrical finiteness for automorphism groups via cone conjecture

Abstract：

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.

DATEOctober 22, 2024

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