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Non-archimedean electrostatics

I will be teaching a summer school course on $p$-adic electrostatics at the CIMPA-CIMAT Research School on $p$-adic Numbers, Ultrametric Analysis and Applications in Guanjuato, Mexico May 23-31, 2022.

We will cover the following topics. Notes are developed for each topic; these notes are necessarily more involved than what I will be able to lecture on in class. For many, parts of these notes will be review.

These lectures are based on the following paper, but provide a more complete background in the $\mathbb Z_p$ setting.

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