MS Seminar (Mathematics - String Theory)

Speaker: Dulip Piyaratne (University of Arizona)
Title: Some Bridgeland stability conditions in the boundary of the geometric chamber on smooth quintic threefolds
Date: Tue, Jul 30, 2019, 13:15 - 14:45
Place: Seminar Room A
Blackboard: (Blackboard talk)
Abstract: Understanding the space of Bridgeland stability conditions on Calabi-Yau threefolds, is one of the most important open problems in recent years. One can approach this by first studying the geometric chamber of the stability manifold and then by studying the corresponding induced stability conditions under the derived autoequivalences. Recently, Li proved that the proposal due to Bayer-Bertram-Macri-Toda gives an open subset of geometric stability conditions on every smooth quintic threefold in $\mathbb{P}^4$. In this talk I will explain about some new non-geometric Bridgeland stability conditions that lie on the boundary of the geometric chamber. These stability conditions arise under the action of certain derived autoequivalences called spherical twists on some geometric stability conditions.