Geometric classification of total stability conditions and Reineke's conjecture


报告专家:张笑婷(首都师范大学)

报告时间:2024年9月12日(星期四)下午15:00-16:00

报告地点:数学学院东409  

报告摘要:We construct a geometric model for the root category associated to any Dynkin diagram Q and classify the space of total stability conditions on the bounded derived category of Q. As an application, 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. This is based on joint works with Wen Chang and Yu Qiu.

专家简介:张笑婷,首都师范大学交叉科学研究院副研究员,其研究领域是代数范畴化和高阶表示论,主要研究抽象2-范畴的2-表示理论,在 Proc. Lond. Math. Soc.,Pacific J. Math. ,Math. Res. Lett., J. Inst. Math. Jussieu.,Kyoto J. Math.,J. Pure Appl. Algebra等国际学术期刊发表论文十余篇。

邀请人:付昌建


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