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Non-abelian Abel's theorems and quaternionic rotation

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Speaker: 
Vasily Golyshev
Affiliation: 
MCCME, Moscow/MPIM
Date: 
Tue, 2021-02-23 14:00 - 15:30

I will talk on a subject which has evolved over the years in discussions with M. Kontsevich, A. Mellit, V. Roubtsov, and D. van Straten. I will explain how the kernels of non-abelian Abel's theorems can be seen as a low-technology alternative to geometric Langlands, and produce a Clausen-type lift from the Markov to a quaternionic local system on a punctured genus 1 curve.


 
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