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Geometry and Dynamics Seminar
Geometry and Dynamics Seminar
Global dimension of geometric stability condition
Global dimension of geometric stability condition
Organizer
Yuwei Fan
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.