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(2018.12.19)Kai-Wen Lan:Logarithmic Riemann-Hilbert correspondences for rigid varieties
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Update time: 2018-12-14
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Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

Kai-Wen Lan,University of Minnesota

Inviter:  
Title:
Logarithmic Riemann-Hilbert correspondences for rigid varieties
Time & Venue:
2018.12.19 9:30-10:30 N817
Abstract:

I will give an overview of the construction of a Riemann-Hilbert functor for p-adic etale local systems over smooth algebraic varieties, which can be viewed as a p-adic analogue of Deligne's classical Riemann-Hilbert correspondence for local systems over smooth algebraic varieties over the complex numbers, by establishing a logarithmic Riemann-Hilbert functor over proper smooth rigid analytic varieties. If time permits, I will try to highlight certain special phenomena which are not obvious from the outset. (This is based on joint work with Hansheng Diao, Ruochuan Liu, and Xinwen Zhu.)

 

 

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