Global dimension of geometric stability condition
Organizer
Speaker
Nantao Zhang
Time
Wednesday, November 27, 2024 1:30 PM - 3:30 PM
Venue
A3-2a-302
Online
Zoom 815 762 8413
(BIMSA)
Abstract
The global dimension function introduced by Qiu is a generalization of global homological dimension for abelian category. The flow via global dimension function has been used to prove contractibilty of some stability spaces. In this talk, I will explain recent work with Dongjian Wu, showing an explicit subset of geometric stability condition of some projective threefolds including $\mathbb{P}^3$ has global dimension 3 as expected. Our proof uses generalized Bogomolov inequality as key ingredient.