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Simon Cooper: Arithmetic Geometry Learning Seminar: Diophantine problems and p-adic period mappings (after Lawrence—Venkatesh)

Time: Tue 2023-04-04 13.00 - 15.00

Location: Kovalevsky room, Albano

Participating: Simon Cooper (Stockholm University)

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I will define the (local) p-adic period map which plays a central role in the Lawrence-Venkatesh method. Then I'll discuss how this compares with the complex period map defined by Stefan earlier in the seminar. In particular, I'll present a technical lemma which relates the (closure of the) image of the p-adic period map with the image of the complex period map.