学术报告(郑志伟 9.16)

Automorphisms and periods of cubic fourfolds

发布人:周妍 发布日期:2019-09-11
主题
Automorphisms and periods of cubic fourfolds
活动时间
-
活动地址
数学楼416讲学厅
主讲人
郑志伟 博士 清华大学

Abstract: Cubic fourfold plays a central role in algebraic geometry because of its close relation to hyper-Kahler geometry. In this talk I will start with this relation and discuss the Hodge theory and moduli theory for cubic fourfolds. Then I will introduce an application of the above theories, namely, a complete classification of the symplectic automorphism groups of smooth cubic fourfolds. This work can be regarded as a higher dimensional analogue of Mukai's celebrated result on classification of finite symplectic automorphism groups of K3 surfaces. This is a joint work with Radu Laza.

 

数学学院

2019年9月11日