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沈俊亮 博士:Kahler differentials, Hodge modules, and Lagrangian fibrations

本站小编 Free考研考试/2021-12-26



Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker: 沈俊亮 博士,Yale University
Inviter:
Title:
Kahler differentials, Hodge modules, and Lagrangian fibrations
Time & Venue:
2021.10.08 09:00-11:00 Zoom会议:412 019 4771 密码:mcm1234
Abstract:
In joint work with Qizheng Yin, we proved in 2018 that the dimsneions of the graded pieces of the perverse filtration associated with a Lagrangian fibration of a compact hyper-K?hler variety are matched with the Hodge numbers of the ambient variety. This "Perverse = Hodge" identity suggests a correspondence between coherent sheaves and constructible sheaves for Lagrangian fibrations. In this talk, I will discuss a possible categorification of the connection above, which relates the decomposition theo of a Lagrangian fibration to K?hler differentials of the ambient variety. Based on joint work in progress with Qizheng Yin.



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