English

Stability of character sums for positive-depth, supercuspidal representations

Representation Theory 2017-01-11 v1

Abstract

We re-write the character formul{\ae} of Adler and the second-named author in a form amenable to explicit computations in pp-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.

Keywords

Cite

@article{arxiv.1310.3306,
  title  = {Stability of character sums for positive-depth, supercuspidal representations},
  author = {Stephen DeBacker and Loren Spice},
  journal= {arXiv preprint arXiv:1310.3306},
  year   = {2017}
}
R2 v1 2026-06-22T01:45:28.706Z