BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Formal deformations of crystals and arithmetic applications Pal, Ambrus


I will first describe two problems in the arithmetic of elliptic curves over function fields, then my work in progress on these conjectures using tools from $p$-adic cohomology. The first ingredient is a pro-representability theorem of what could be called arithmetic deformations of crystals and Dieudonne crystals. The second ingredient is the application of the Taylor-Wiles method in this setting.

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