Characterizing perfectoid covers of abelian varieties

Abstract: Perfectoid spaces have emerged as a key tool in p-adic Hodge theory over the past decade, generalizing earlier ideas due to people like Fontaine and Wintenberger. I will discuss some history and applications of this circle of ideas, before talking about recent work characterizing perfectoid covers of certain abelian varieties. This is joint work with Hanlin Cai and Sean Howe.

algebraic geometrynumber theory

Audience: researchers in the topic

MIT number theory seminar

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