Stability of character sums for positive-depth, supercuspidal representations

Abstract

We re-write the character formulæ of Adler and the second-named author in a form amenable to explicit computations in $p$-adic harmonic analysis, and use them to prove the stability of character sums for a modification of Reeder's conjectural positive-depth, unramified, toral supercuspidal L-packets.

References in corpus (2)

• Supercuspidal characters of reductive p-adic groups
• Supercuspidal characters of ${\mathrm{SL}}_2$ over a $p$-adic field