学术报告（李纯毅 12.15）
Elliptic quintic curves on cubic fourfolds and O'Grady10
发布人：杨晓静
发布日期：2020-12-10
主题
Elliptic quintic curves on cubic fourfolds and O'Grady10
活动时间
-
活动地址
线上，腾讯会议， 会议 ID: 169 131 821
主讲人
李纯毅 The University of Warwick ，Warwick Zeeman Lecturer
主持人
宋雷
摘要：
In this talk we study certain moduli spaces of semistable objects in the Kuznetsov component of a cubic fourfold. We show that they admit a symplectic nesolution M which is a smooth projective hyperkaehler manifold deformation equivalent to the 10-dimensional example constructed by O'Grady. We show that M is the MRC quotient of the main component of the Hilbert scheme of elliptic quintic curves in the cubic fourfold, as conjectured by Castravet. This is a joint work with Laura Pertusi and Xiaolei Zhao.
