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Geometry and Dynamics Seminar
Geometrical finiteness for automorphism groups via cone conjecture
Geometrical finiteness for automorphism groups via cone conjecture
Organizer
Speaker
Kohei Kikuta
Time
Wednesday, October 23, 2024 1:30 PM - 3:30 PM
Venue
A3-2a-302
Online
Zoom 815 762 8413
(BIMSA)
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.