Abstract: In this seminar I will show that an equivalence of derived
categories of sheaves of smooth projective varieties preserves some
specific classes of fibrations over varieties of maximal Albanese
dimension. These types of fibrations, called chi-positive higher
irrational pencils, can be thought as an extension to higher-dimension of
the notion of a irrational pencil over a smooth curve of genus greater or
equal to two. This is a joint work with F. Caucci and G. Pareschi.
