MOTIVIC FUNCTIONS, INTEGRABILITY, AND APPLICATIONS TO HARMONIC ANALYSIS ON p-ADIC GROUPS

作者：Cluckers Raf^*; Gordon Julia; Halupczok Immanuel

来源：Electronic Research Announcements in Mathematical Sciences, 2014, 21: 137-152.

DOI：10.3934/era.2014.31.137

• p-adic group
• Harish-Chandra character
• orbital integral
• positive characteristic
• motivic integration

We provide a short and self-contained overview of the techniques based on motivic integration as they are applied in harmonic analysis on p-adic groups; our target audience is mainly representation theorists with no background in model theory (and model theorists with an interest in recent applications of motivic integration in representation theory, though we do not provide any representation theory background). We aim to give a fairly comprehensive survey of the results in harmonic analysis that were proved by such techniques in the last ten years, with emphasis on the most recent techniques and applications from [14 [8], and [32, Appendix B].

• 出版日期2014