BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Stability conditions via Tits cone intersections Wemyss, Michael


I will explain that stability conditions for general Gorenstein terminal 3-fold flops can be described as a covering map over something reasonable. Basically, part of the description comes from the movable cone, and its image under tensoring by line bundles. Alas, there is more. This extra stuff is not immediately "birational" information, and it is a bit mysterious, but it does have a very natural noncommutative interpretation, with geometric corollaries. In the process of this, I'll describe some of the new hyperplane arrangements that arise, which visually are very beautiful. If time allows, I will also explain some applications to autoequivalences and to curve counting. This is joint work with Yuki Hirano, and with Osamu Iyama.

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