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As a student with a background in Algebraic Geometry (up to chapter 3 of Hartshorne) and basic Algebraic Number Theory, where should I begin learning about the $p$-adic Langlands program? What are the fundamental references? Although there might not be a single canonical path through these references, could you recommend a roadmap for me?

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    $\begingroup$ Emerton's ICM article (math.uchicago.edu/~emerton/pdffiles/icm.pdf) is a great start. I would also look at Breuil's article from the 2010 ICM. You can also read the introduction of the (rather imposing) Emerton-Gee-Hellmann IHES notes. $\endgroup$
    – Satan's Minion
    Commented Jul 4, 2023 at 7:12

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