学术报告(邱宇 12.29)
Geometric classification of total stability conditions and Reineke's conjecture
发布人:姚璐
发布日期:2023-12-28
主题
Geometric classification of total stability conditions and Reineke's conjecture
活动时间
-
活动地址
新数学楼403
主讲人
邱宇 教授(清华大学)
主持人
李长征
Abstract: We construct a geometric model for root category of any Dynkin diagram Q, which is a h_Q-gon with cores for h_Q is the Coxeter number. We show that the space of total stability conditions on bounded derived category of Q is isomorphic to the moduli space of stable h_Q-gons (up to translation). As an application, by describing the hearts of total stability conditions geometrically, we prove Reineke's conjecture, that for any Dynkin quiver, there is a stability function on its module category such that any indecomposable is stable.