Torelli type theorem and Tate conjecture for K3 and abelian surfaces. -武汉大学数学与统计学院

报告题目:

Torelli type theorem and Tate conjecture for K3 and abelian surfaces.

报告人:

李志远教授（复旦大学）

报告时间:

报告地点:

理学院东北楼四楼报告厅 (404)

报告摘要:

Over complex numbers, the famous global Torelli theorem for K3 surfaces says that two integral Hodge isometric K3 surfaces are isomorphic. In this talk, I will first give an overview of the Huybrechts’twisted Torelli theorem for K3 surfaces, which proves the Hodge conjecture for rational Hodge isometries. I will talk about how to extend Huybrechts’ result to abelian surfaces over all fields and its relation to Tate conjectures.