Derived isogenies of abelian surfaces

Dr. Haitao Zou
2021-09-29
MCM110

Speaker: Dr. Haitao Zou (Shanghai Center for Mathematical Sciences)
Time: 13:30-14:30 September 29, 2021(Wednesday)
Place: MCM110
Title: Derived isogenies of abelian surfaces
Abstract: In this talk, we will introduce the notion of derived isogeny for abelian surfaces, which is inspired by recent works on the algebraicity of Hodge isogenies between K3 surfaces, due to Buskin and Huybrechts. We will compare the the classical notion of isogenies and derived isogenies between abelian surfaces (over any fields). In particular, this will provide variants of (twisted) derived Torelli theorem for abelian surfaces. This is a joint work with Zhiyuan Li.