题目: Derived Torelli theorems and derived isogenies for abelian varieties

报告人：鲁子伟 (复旦大学)

时间：5月29日（周五）上午10：40-11：40

地点：数学科学学院308 

摘要：The notion of derived isogeny provides a natural framework for comparing smooth projective varieties up to rational cohomological equivalence. In this talk, we explore how this categorical concept relates to classical isogenies for abelian varieties. The key machinery behind this characterization is the twisted derived Torelli theorem, which generalizes the classical results of Orlov and Polishchuk by providing a precise geoemetric criterion for when two twisted abelian varieties are derived equivalent. Finally, we will briefly discuss some related results and open questions.

This talk is based on joint work with Zhiyuan Li and Zhichao Tang.