Algebra & Combinatorics Seminar

Abstract

Green and Griffiths study deformation of algebraic cycles and pose a list of open questions in their Annals book(no.157). In this talk, we explain some of these questions and show how to approach them by using higher algebraic K-theory and tensor triangular geometry. We also recall related work on variational(infinitesimal) Hodge conjecture by Bloch, Esnault and Kerz