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

页码：259 / 295

页数：37

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