Universally Defined Cycles

Join mathematician Claire Voisin from CNRS Institut de Mathématiques de Jussieu-Paris for a one-hour Zoom lecture on universally defined cycles. Explore the fundamental concept of universally defined cycles for smooth varieties of dimension d, and discover how these cycles are given on generic fibers by polynomials in the Chern classes—representing a higher dimensional version of the Franchetta conjecture. Learn about the motivation behind the main definition and examine a conjectural extension of the result to universally defined cycles on powers of varieties of given dimension.