Семинар МЛЗС "Теория категорий и её приложения": Wanmin Liu

Семинар "Теория категорий и её приложения"   состоится  5 декабря в 17:00 в аудитории 212
На семинаре выступит Prof.  Wanmin Liu (Uppsala University) c докладом «Global dimension function, contractibility and inducing for stability conditions on P^2 »

Abstract:
We compute the global dimension function $\gldim$ on the space of Bridgeland stability conditions on P^2. The $\gldim$ has minimal value 2, and $\gldim^{-1}(2)$ are contained in the closure of the subspace consisting of geometric stability conditions. We show that $\gldim^{-1}([2,x})$ contracted to $\gldim^{-1}(2)$ for any real number $x>=2$. The $\gldim$ sheds some lights on why a space of Bridgeland stability conditions should be contractible. This is a joint work with Yu-Wei Fan, Chunyi Li and Yu Qiu.