Asymptotics and Local Constancy of Characters of p-adic Groups

被引：3
|
作者：
Kim, Ju-Lee [1 ]
Shin, Sug Woo [2 ,3 ]
Templier, Nicolas [4 ]
机构：
[1] MIT, Dept Math, 77 Massachusetts Ave, Cambridge, MA 02139 USA
[2] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
[3] Korea Inst Adv Study, 85 Hoegiro, Seoul 130722, South Korea
[4] Cornell Univ, Dept Math, Ithaca, NY 14853 USA
来源：
FAMILIES OF AUTOMORPHIC FORMS AND THE TRACE FORMULA | 2016年
关键词：
MINIMAL K-TYPES; DISCRETE-SERIES CHARACTERS; FINITE SIMPLE-GROUPS; SUPERCUSPIDAL REPRESENTATIONS; CLASSICAL-GROUPS; FIELD; TAME; THEOREM;
D O I：
10.1007/978-3-319-41424-9_7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study quantitative aspects of trace characters, Theta(pi) of reductive p-adic groups when the representation pi 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, Theta(pi) relative to the formal degree of pi, which we are able to prove in the case where pi is a tame supercuspidal. The proof builds on J.=K. Yu's construction and the structure of Moy-Prasad subgroups.
引用
收藏
页码：259 / 295
页数：37
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