# An Introduction to Motivic Integration

**Authors:** Immanuel Halupczok

arXiv: 1703.05744 · 2017-03-17

## TL;DR

This paper introduces motivic integration, focusing on uniform p-adic integration across all dic fields, and discusses its theoretical foundations and applications within model theory.

## Contribution

It provides an accessible overview of motivic integration in the style of Cluckers-Loeser, emphasizing uniform p-adic integration techniques.

## Key findings

- Unified framework for p-adic integration across all dic fields
- Connections between motivic integration and model theory
- Foundational insights into motivic measures

## Abstract

These are notes of a series of talks about motivic integration I gave on the M\"unster Model Theory Month. Readers are assumed to have some basic knowledge of model theory and of valued fields. The notes are closest to the Cluckers-Loeser style of motivic integration, though mostly they are about doing p-adic integration uniformly in all $\mathbb{Q}_p$.

## Full text

_Full body text omitted from this summary view._ Fetch the complete paper as Markdown: https://tomesphere.com/paper/1703.05744/full.md

## Figures

2 figures with captions in the complete paper: https://tomesphere.com/paper/1703.05744/full.md

## References

5 references — full list in the complete paper: https://tomesphere.com/paper/1703.05744/full.md

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Source: https://tomesphere.com/paper/1703.05744