## Hodge theory, coniveau and algebraic cycles

Claire Voisin

Centre national de la recherche scientifique; Distinguished Visiting Professor, School of Mathematics

October 6, 2014

My talk will be a broad introduction to what is the (mostly conjectural) higher dimensional generalization of Abel's theorem on divisors on Riemann surfaces, namely, the relationship between the structure of the group of algebraic cycles on a complex projective variety and the complexity of its so-called Hodge structures.