Speaker: Edgar Costa (MIT) Title: Effective computation of Hodge cycles Time & Place: 15:00 -- 16:00, Thursday 28 November 2024, SMRI Seminar Room Abstract: In this talk, we will overview several techniques to compute the Hodge cycles on surfaces. We will start by studying the self-product of a curve, with the goal of computing the endomorphism of its Jacobian. We will follow this with the problem of computing the Picard lattice of a K3 surface.