GTM Seminar

Speaker: Nantao Zhang (Tsinghua university)
Title: Bogomolov-type inequalities and Bridgeland stability conditions on threefolds
Date (JST): Thu, May 15, 2025, 15:30 - 16:30
Place: Seminar Room B
Abstract: The Bogomolov-type inequalities introduced by Bayer, Macrì and
Toda are important tools to construct the geometric stability conditions
on threefolds. In the first part of the talk, I will discuss a new
implication of these inequalities on Bridgeland stability conditions.
That is these geometric stability conditions on Fano threefold of Picard
rank 1 has global dimension 3. And the second part, I will show it is
equivalent to Bogomolov-type inequalities for perverse stability
conditions on its blowups introduced by Toda.