Geometric model for module categories of Dynkin quivers via hearts of total stability conditions

讲座时间 Datetime: 2022年6月8日，星期三，16:00-17:30

地点 Venue: 腾讯线上会议：946-628-9201

 主持人 Host：黄敏

报告人 Speaker:常文

单位 Affiliation:陕西师范大学

报告摘要 Abstract:

We derive a geometric model for the module category modkQ of a Dynkin quiver Q via the heart of the total stability conditions (ToSts) on the bounded derived category of modkQ. As an application, we prove Reineke’s conjecture that there is a stability function on modkQ making any indecomposable stable. This is ongoing joint work with Yu Qiu and Xiaoting Zhang