Title: Fano varieties of lines, some flips, and a flop
Speaker: Aporva Varshney
Abstract: There have been several conjectures made on the derived category of the “Fano variety of lines” for varieties such as the cubic fourfold and the intersection of two quadrics. These conjectures are interesting more widely as these varieties of lines give us a hyperkahler manifold (in the cubic case) and a moduli space of certain bundles on curves (in the quadric case). I’ll discuss some of the birational transformations taking place, and give an overview of the techniques in the proof given by Kemboi—Segal for the cubic fourfold case. Depending on time I may also discuss ongoing work on the case of two quadrics.
Some snacks will be provided before and after the talk.