Finite quotients of Bruhat–Tits buildings as geometric expanders

JOURNAL OF TOPOLOGY AND ANALYSIS（2017）

引用 3|浏览0

暂无评分

摘要

In [5], Fox, Gromov, Lafforgue, Naor and Pach, in a response to a question of Gromov [7], constructed bounded degree geometric expanders, namely, simplical complexes having the affine overlapping property. Their explicit constructions are finite quotients of (A) over tilde (d)-buildings, for d >= 2, over local fields. In this paper, this result is extended to general high rank Bruhat-Tits buildings.

查看译文

关键词

High-dimensional expanders,geometric expanders,overlapping property,Bruhat-Tits buildings,Hecke operators,property (T)

AI 理解论文

溯源树

样例

生成溯源树，研究论文发展脉络

Chat Paper

正在生成论文摘要