$\infty$-Categorical Functional Analysis and $p$-adic Motives

Xin Tong

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arXiv · 2112.10616

$\infty$-Categorical Functional Analysis and $p$-adic Motives

Xin Tong

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Abstract

We discuss the deep relationship between $\infty$-categorical functional analysis and the anticipated theory of $p$-adic motives. The motivation fundamentally comes from applications essentially in arithmetics from very broad perspectives. The $\infty$-categorical homotopical aspects we considered here come mainly from Bambozzi-Ben-Bassat-Kremnizer, Ben-Bassat-Mukherjee, Bambozzi-Kremnizer, Clausen-Scholze and Kelly-Kremnizer-Mukherjee, based on deep robust foundation of $\infty$-categorical solids and $\infty$-categorical ind-Banach or bornological modules over general Banach rings.

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Xin Tong. 2021-12-20. $\infty$-Categorical Functional Analysis and $p$-adic Motives. https://arxiv.org/abs/2112.10616

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