Asymptotics and Local Constancy of Characters of p-adic Groups
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1602.01758.pdf
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379.83 KB
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Author(s)
Kim, Ju-Lee
Shin, Sug Woo
Templier, Nicolas
Date Issued
September 2016
Journal
Families of Automorphic Forms and the Trace Formula
Publisher
Springer
Citation
Kim, Ju-Lee et al. “Asymptotics and Local Constancy of Characters of p-Adic Groups.” Simons Symposia (2016): 259–295 © 2016 Springer International Publishing Switzerland
Version
Original manuscript
Abstract
In this paper we study quantitative aspects of trace characters Θπ of reductive p-adic groups when the representation π varies. Our approach is based on the local constancy of characters and we survey some other related results. We formulate a conjecture on the behavior of Θπ relative to the formal degree of π, which we are able to prove in the case where π is a tame supercuspidal. The proof builds on J.-K. Yu’s construction and the structure of Moy–Prasad subgroups. Keywords: Maximal Torus; Regular Element; Discrete Series; Formal Degree; Open Compact Subgroup
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/978-3-319-41424-9_7
