Seminar Event Detail

Algebraic Geometry

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

Event Organizer:     


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