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New Shape Opens ‘Wormhole’ Between Numbers and Geometry
The article by Kevin Hartnett (https://twitter.com/KSHartnett) expertly explains a mammoth 350-page paper by Fargues and Scholze about a new way of connecting number theory and geometry (Langlands program).

Fargues and Scholze (2021) Geometrization of the local Langlands correspondence: https://arxiv.org/abs/2102.13459