Speaker: | Nantao Zhang (Tsinghua university) |
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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. |