Rodolfo Aguilar, University of Miami: Infinitesimal methods in mixed Hodge theory

Rodolfo Aguilar, University of Miami: Infinitesimal methods in mixed Hodge theory
After recalling, giving examples and applications of infinitesimal variations of Hodge structures, we will define its mixed counterpart. Then we associate to it two invariants and describe them more explicitly in the case of pairs (X,Y) where X is a Fano 3-fold and Y an anticanonical surface. We will conclude with a Torelli type theorem for general pairs (X,Y) where X is a cubic threefold and Y as before. Joint work with M. Green and P. Griffiths.