中科院数学与系统科学研究院
数学研究所
中科院华罗庚数学重点实验室
华罗庚青年数学论坛
学术报告
报告人：李纯毅 博士（University of Warwick）
题 目：Bridgeland stability conditions and applications (II)
时 间：2021.04.24（星期六），21:00-22:00
地 点：腾讯会议：648 3130 7545
摘 要：We discuss a project on the stability manifold of smooth projective complex variety whose Albanese morphism is finite. We show that every stability condition on its bounded derived category of coherent sheaves is geometric. Furthermore, we describe the stability manifolds of irregular surfaces and abelian threefolds with Picard rank one, and show that they are connected and contractible.
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报告人： 李纯毅 博士（University of Warwick）
题 目：Bridgeland stability conditions and applications（III）
时 间：2021.04.25（星期日），21:00-22:00
地 点：腾讯会议：648 3130 7545
摘 要：We discuss a project on the Hilbert scheme of elliptic quintic curves in a cubic fourfold. We show that the MRC quotient of the scheme is the moduli space M of certain semistable objects in the Kuznetsov component of the cubic fourfold. We further show that M is a smooth projective hyperkahler manifold deformation equivalent to the 10-dimensional example constructed by O'Grady. These projects are joint works with Lie Fu, Laura Pertusi and Xiaolei Zhao.
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