On K3 Surfaces with Non-Elementary Hyperbolic Automorphism Group

Explore the automorphism groups of complex K3 surfaces through the lens of hyperbolicity in this 56-minute mathematical lecture. Examine the finiteness of Néron-Severi lattices of complex projective K3 surfaces whose automorphism groups are non-elementary hyperbolic, with the optimal assumption that the Picard number is greater than or equal to 6. Learn about ongoing collaborative research between mathematicians from Kyoto University and Tianjing University that advances understanding of these geometric structures. Discover how hyperbolic properties relate to the classification and structure of K3 surfaces, a fundamental topic in algebraic geometry and complex geometry. Gain insights into the intersection of complex analysis, algebraic geometry, and group theory as applied to these special classes of surfaces.