|Date: Wednesday, February 18, 2015
Location: 4096 East Hall (4:00 PM to 6:00 PM)
Title: Derived categories of Fano varieties of degree 10
Abstract: I will discuss the derived categories of Fano varieties of Picard number 1, degree 10, and coindex 3. The birational geometry of such a variety X appears to be closely related to a certain semiorthogonal component A(X) of its derived category. In the 4-dimensional case, I will describe:
(1) a locus in the moduli space where X is rational and A(X) is equivalent to the derived category of a K3 surface;
(2) a locus where X is birational to a cubic fourfold Y and A(X) is equivalent to an analogous category associated to Y. For "hyperelliptic" X, I will also describe a relation between A_X and the category associated to a degree 10 variety of one dimension less. This is joint work with Alexander Kuznetsov.
Speaker: Alex Perry
Institution: Harvard University