Alex Perry : Derived categories of cubic fourfolds and their geometric applications
A fundamental problem in algebraic geometry is to determine whether a given algebraic variety is birational to projective space. This is most prominently open for cubic fourfolds, i.e. hypersurfaces defined by a cubic polynomial in a five-dimensional projective space. A decade ago, Kuznetsov suggested an approach to this problem using the derived category of coherent sheaves. I will explain recent applications of this perspective to fundamental questions in hyperkahler geometry and Hodge theory, which in turn shed light on the original question about cubic fourfolds.
- Category: Algebraic Geometry
- Duration: 01:24:44
- Date: January 15, 2020 at 11:55 AM
- Tags: seminar, Algebraic Geometry Seminar