An overview of arithmetic motivic integration

TL;DR

This paper provides an elementary overview of motivic integration, illustrating its concepts with examples and discussing its potential applications in the representation theory of p-adic groups.

Contribution

It offers an accessible exposition of motivic integration theory, making it more approachable for researchers in related fields.

Findings

Introduces motivic integration with illustrative examples

Highlights potential applications in p-adic group representation theory

Simplifies complex concepts for broader understanding

Abstract

This is an attempt at an elementary exposition, with examples, of the theory of motivic integration developed by R. Cluckers and F. Loeser, with the view towards applications in representation theory of p-adic groups.