The Abel-Jacobi map for Gushel-Mukai 5folds

Location: 11th Floor Lecture Hall Speaker Giulia Saccà, Columbia University Session Chair Kiran Kedlaya, University of California San Diego Abstract Given a smooth projective variety X, the Abel-Jacobi map relates families of cycles on X of a given codimension to the intermediate Jacobian of X of the corresponding degree, generalizing the case of families of points on a smooth projective curve. In this talk, I will discuss some properties of the Abel-Jacobi map for surfaces on Gushel-Mukai 5folds, extending some results of Debarre and Kuznetsov. This is joint work with E. Macrì and K. O'Grady.