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Ludvig Olsson: Arithmetic Geometry Learning Seminar: Diophantine problems and p-adic period mappings (after Lawrence–Venkatesh)

Time: Tue 2023-04-18 13.15 - 15.00

Location: Kovalevsky room, Albano

Participating: Ludvig Olsson (Stockholm University)

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I will explain the necessary background in p-adic hodge theory needed for the Lawrence–Venkatesh paper, with a focus on crystalline representations. In particular, we will reduce the statement that the map from points in a family to Galois representations is finite to one to an algebraic statement about period maps.