SFU NTAG Seminar: Josiah Foster

For a complex projective variety, the Lefschetz standard conjectures predict the existence of algebraic self-correspondences that are inverse to the hard Lefschetz isomorphisms. They have broad implications for Hodge theory and the theory of motives. We describe recent progress on the Lefschetz standard conjectures for irreducible holomorphic symplectic (compact hyper-Kaehler) manifolds of generalized Kummer deformation type.