Endoscopic transfer of orbital integrals in large residual characteristic

2015/02/25 by Julia Gordon, Thomas Hales, Gordon, Julia +1
Mathematics · #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1502.07368

33 pages

arxiv created 2015/02/25 · arxiv updated 2015/02/27

Abstract

This article constructs Shalika germs in the context of motivic integration, both for ordinary orbital integrals and kappa-orbital integrals. Based on transfer principles in motivic integration and on Waldspurger's endoscopic transfer of smooth functions in characteristic zero, we deduce the endoscopic transfer of smooth functions in sufficiently large residual characteristic.

Related

• Transfer principles for Bounds of motivic exponential functions
• Endoscopic Relative Orbital Integrals on U₃
• On the structure of endoscopic transfer factors
• Transfer operators and Hankel transforms between relative trace\n formulas, II: Rankin-Selberg theory
• Exposing Relative Endoscopy in Unitary Symmetric Spaces