THE ASYMPTOTIC GROWTH OF TORSION HOMOLOGY FOR ARITHMETIC GROUPS

被引：91

作者：

Bergeron, Nicolas ^{[1
]}

Venkatesh, Akshay ^{[2
]}

机构：

[1] Univ Paris 06, CNRS, Inst Math Jussieu, Unite Mixte Rech 7586, F-75252 Paris 05, France

[2] Stanford Univ, Dept Math, Stanford, CA 94304 USA

来源：

JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU | 2013年 / 12卷 / 02期

关键词：

SERRES CONJECTURE; UNITARY REPRESENTATIONS; GALOIS REPRESENTATIONS; ANALYTIC TORSION; R-TORSION; COHOMOLOGY; PROFINITE; CRITERIA; WEIGHT; SPACES;

D O I：

10.1017/S1474748012000667

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

When does the amount of torsion in the homology of an arithmetic group grow exponentially with the covolume? We give many examples where this is the case, and conjecture precise conditions.

引用

页码：391 / 447

页数：57

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