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Twisted derived equivalence for abelian surfaces
【2021.3.19 9:00am, Zoom会议】

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 2021-3-4 

  Colloquia & Seminars 

  Speaker

Zhiyuan Li ,Shanghai Center for Mathematical Sciences

  Title

Twisted derived equivalence for abelian surfaces

  Time

2021.03.19 09:00-10:00

  Venue

Zoom会议

  Abstract

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Over complex numbers, the famous global Torelli theorem for K3 surfaces says that two integral Hodge isometric K3 surfaces are isomorphic. Recently, Huybrechts has shown that two rational Hodge isometric K3 surfaces are twisted derived equivalent. This is called the twisted derived Torelli theorem for K3. Natural questions arise for abelian varieties. In this talk, I will talk about the twisted derived equivalence for abelian surfaces, including the twisted derived Torelli theorem for abelian surfaces (over all fields) and its applications. This is a joint work with Haitao Zou.   

  Affiliation

 

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