01-08【韩 喆】腾讯会议 吴文俊实验室几何学系列讲座

发布者:万宏艳发布时间:2020-12-31浏览次数:121

报告人:  韩喆 副教授(河南大学)


报告时间: 1月8日上午9:00-11:00


报告地点: 腾讯会议室 928 943 6801 (密码: 444167)


题目:Quadratic differentials and exchange relations


摘要:Bridgeland introduced stability conditions on triangulated categories and proved the space of stability conditions has the structure of a complex manifold. Bridgeland and Smith proved that there exists an isomorphism between the moduli space of meromorphic quadratic differentials on compact Riemann surface and the space of stability conditions on a Calabi-Yau 3 triangulated categories arising from quiver with potentials. These moduli spaces have cell structures which are dual to the exchange graphs encoding the hearts of the CY 3 category and simple tiltings between them. There are some exchange relations in the exchange graph. We are trying to understand the exchange relation in the moduli space of quadratic differentials.