Motivic integration and the Grothendieck group of pseudo-finite fields

By Jan Denef, François Loeser. 2002

48 citations recorded by the source corpus.

We survey our recent work on an extension of the theory of motivic integration, called arithmetic motivic integration. We developed this theory to understand how p-adic integrals of a very general type depend on p.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8a662df77c285c95bfd185233be6c027961cb961

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Raf Cluckers
2. François Loeser
3. Johannes Nicaise
4. Leonard Lipshitz
5. Willem Veys
6. Julien Sebag
7. Nicolas Templier
8. S. Shin

In Mathematical Physics

1. Raf Cluckers
2. François Loeser
3. Johannes Nicaise
4. Leonard Lipshitz
5. Nicolas Templier
6. S. Shin
7. G. Fichou

Citations in the corpus

• The interior-point revolution in optimization: History, recent developments, and lasting consequences (2004, unknown): “reduction of the barrier parameter; see [38, 6].”
• Constructible motivic functions and motivic integration (2004, background): “] In [16] and [17], building on the work in [15], a canonical morphism χc : K0(PFFk) −→ K 0 (Vark) ⊗Q”
• Arc spaces, motivic integration and stringy invariants (2004, unknown): “† Now available are the ICM 2002 survey [ DL9 ] and the recent expository paper of Hales [Hal3] on the theory of arithmetic motivic measure of Denef and Loeser [DL5].”