Local and Global Analysis

TL;DR

This paper introduces p-adic analysis, covering foundational concepts and recent developments like Weil groups, inspired by Tate's thesis, to provide a comprehensive overview of the field.

Contribution

It offers an integrated introduction to p-adic analysis, combining classical and modern topics such as Weil groups, expanding on Tate's foundational work.

Findings

Provides a detailed overview of p-adic analysis concepts.

Incorporates recent advances like Weil groups into the classical framework.

Serves as an educational resource for foundational and modern topics.

Abstract

The objective of this article is to give an introduction to p-adic analysis along the lines of Tate's thesis, as well as incorporating material of a more recent vintage, for example Weil groups.