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.