Motivic functions, integrability, and uniform in p bounds for orbital integrals

2013/09/03 by Raf Cluckers, Julia Gordon, Cluckers, Raf +3
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic and geometric function theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1309.0594

arxiv created 2013/09/03 · openalex publication_date 2013/09/03 · arxiv updated 2013/09/04 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

Abstract

This is a short announcement and summary of the results of arxiv:1111.7057, arxiv.org:1111.4405, and Appendix B to arxiv:1208.1945. In particular, we emphasize the exposition of the ideas related to model theory and motivic integration, and simplify the definitions, to make these results easily accessible to non-model theorists.

Citations

• Local integrability results in harmonic analysis on reductive groups in large positive characteristic
• Sato-Tate theorem for families and low-lying zeros of automorphic L-functions

Related

• Orbital Integrals are Motivic
• Transfer principles for Bounds of motivic exponential functions
• An Introduction to Motivic Integration
• Ax-Kochen-Eršov Theorems for p-adic integrals and motivic integration
• Good orbital integrals