Algebraic Geometry Seminar
Emanuele Macri
Ohio State University
Stability conditions on abelian threefolds
Abstract: I will present a new proof and a generalization a result by Maciocia and Piyaratne on the existence of Bridgeland stability conditions on any abelian threefold.
As an application, we deduce the existence of Bridgeland stability conditions on a number of Calabi-Yau threefolds, namely Calabi-Yau threefolds of abelian type and Kummer threefolds.
As in the work of Maciocia and Piyaratne, the idea is to show a Bogomolov-Gieseker type inequality involving Chern classes of certain stable objects in the derived category; this was conjectured by Bayer, Toda, and myself.
Our approach uses the multiplication maps on abelian threefolds instead of Fourier-Mukai transforms.
This is joint work with Arend Bayer and Paolo Stellari.
Wednesday December 3, 2014 at 4:00 PM in SEO 427