A rapid introduction to Drinfeld modules, $t$-modules, and $t$-motives

TL;DR

This paper offers a concise overview of Drinfeld modules, t-modules, and t-motives, highlighting key theories and examples to introduce these concepts to readers.

Contribution

It provides a brief, accessible summary of the current developments and core ideas in the theories of Drinfeld modules and t-motives.

Findings

Summarizes key aspects of Drinfeld modules and t-motives.

Includes illustrative examples to clarify complex concepts.

Highlights current research interests in the field.

Abstract

The present article aims to provide a brief account of the theories of Drinfeld modules and Anderson's $t$-modules and $t$-motives. As such the article is not meant to be comprehensive, but we have endeavored to summarize aspects of the theory that are of current interest and to include a number of examples.