$\infty$-Categorical Functional Analysis and $p$-adic Motives
Number Theory
2021-12-21 v1 Algebraic Geometry
Abstract
We discuss the deep relationship between -categorical functional analysis and the anticipated theory of -adic motives. The motivation fundamentally comes from applications essentially in arithmetics from very broad perspectives. The -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 -categorical solids and -categorical ind-Banach or bornological modules over general Banach rings.
Keywords
Cite
@article{arxiv.2112.10616,
title = {$\infty$-Categorical Functional Analysis and $p$-adic Motives},
author = {Xin Tong},
journal= {arXiv preprint arXiv:2112.10616},
year = {2021}
}