Projective Duality of Kummer Fourfolds and Their Equations

Explore the intricate geometry of Kummer fourfolds and their projective duality in this 50-minute mathematical conference talk recorded at the Centre International de Rencontres Mathématiques in Marseille. Delve into how O'Grady's theory of theta groups can be applied to derive equations for these special Hyperkähler manifolds, which represent a fascinating generalization of K3 surfaces and abelian surfaces. Learn about collaborative research findings that connect to classical results involving moduli spaces of sheaves on curves and embeddings of abelian surfaces. Access this presentation through CIRM's Audiovisual Mathematics Library, featuring chapter markers, keywords, abstracts, bibliographies, and Mathematics Subject Classification for enhanced navigation and understanding of the complex mathematical concepts presented.