Proof of the amplification principle 1

Abstract: We will recall the definitions of the Betti map and Betti rank, and look at the degeneration locus of abelian schemes. We will see how these notions are related to each other, and the bi-algebraic structure that we saw in the previous talk.

algebraic geometrynumber theory

Audience: advanced learners

( paper )

Comments: All participants should abide by MIT's COVID policies now.mit.edu/policies/events/

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STAGE

Series comments: STAGE (Seminar on Topics in Arithmetic, Geometry, Etc.) is a learning seminar in algebraic geometry and number theory, featuring speakers talking about work that is not their own. Talks will be at a level suitable for graduate students. Everyone is welcome.

Fall 2025 topic: Weil conjectures.

Some topics might take more or less time than allotted. If a speaker runs out of time on a certain date, that speaker might be allowed to borrow some time on the next date. So the topics below might not line up exactly with the dates below.

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