English

$\infty$-Categorical Approaches to Hodge-Iwasawa Theory I: Introduction and Extensions

Algebraic Geometry 2022-01-11 v2 Number Theory

Abstract

In this paper, we give the introduction to the Hodge-Iwasawa Theory introduced by the author. After that we will give some well-defined extensions to the already shaped framework established in our previous work.

Keywords

Cite

@article{arxiv.2201.01979,
  title  = {$\infty$-Categorical Approaches to Hodge-Iwasawa Theory I: Introduction and Extensions},
  author = {Xin Tong},
  journal= {arXiv preprint arXiv:2201.01979},
  year   = {2022}
}

Comments

169 pages. Based on our dissertation on the title of the Geometric and Representation Theoretic Aspects of p-adic Motives. Added the corresponding Clausen-Scholze formalism on solid quasicoherent sheaves, solid vector bundles and solid perfect complexes, as well as liquid quasicoherent sheaves, liquid vector bundles and liquid perfect complexes