Speaker: Arend Bayer (UConn)

Title: Stability condition on threefolds (and why you should care)

Abstract: I will describe a conjectural construction of Bridgeland stability conditions on the derived category of a smooth projective threefold. While the main motivation for the construction comes from string theory and mirror symmetry, I will instead focus on its relation to questions in birational geometry: Bogomolov-Gieseker type inequalities for stable objects, Reider-type theorems and Fujita's conjecture for adjoint line bundles on threefolds. This is joint work with Emanuele Macrì and Yukinobu Toda.