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

TL;DR

This paper introduces the Hodge-Iwasawa Theory framework, providing foundational concepts and extending previous work to broaden its scope within algebraic geometry and number theory.

Contribution

It offers the first comprehensive introduction to Hodge-Iwasawa Theory and extends the existing framework with new theoretical developments.

Findings

Established foundational concepts of Hodge-Iwasawa Theory

Proposed extensions to the existing framework

Set the stage for future research in the area

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.