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Stefan Reppen: Arithmetic Geometry Learning Seminar - Diophantine problems and p-adic period mappings

Time: Tue 2023-03-07 13.00 - 15.00

Location: Kovalevsky room, Albano

Participating: Stefan Reppen (SU)

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We will recall the definition of de Rham cohomology in the complex setting. We will recall the Hodge filtration and the Gauss-Manin connection on de Rham cohomology, and describe how to use this to compare nearby fibers and obtain a period map. We finish by showing that the Zariski closure of the period map around a point contains the orbit of the image of this point under the monodromy action.