On Benjamini--Schramm limits of congruence subgroups

Arie Levit

On Benjamini--Schramm limits of congruence subgroups

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1705.04200 v2 pith:D7JYP7WT submitted 2017-05-11 math.GR

Arie Levit This is my paper · ORCID

classification math.GR

keywords benjamini--schrammcongruencecharacteristicconvergentcorrespondingcovereveryfields

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

read the original abstract

Every sequence of orbifolds corresponding to pairwise non-conjugate congruence lattices in a higher rank semisimple group over local fields of zero characteristic is Benjamini--Schramm convergent to the universal cover.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Applications of Almost Stationarity I: Quantitative Growth of Injectivity Radius and St\"{u}ck-Zimmer Theorem
math.DS 2026-08 conditional novelty 7.0 of 10

For non-lattice discrete subgroups of higher-rank simple Lie groups, the maximal injectivity radius on balls of radius r grows at least c log log log log r.

Pith tools