Analytic torsion of arithmetic quotients of the symmetric space SL(n,R)/SO(n)

Abstract

In this paper we define a regularized version of the analytic torsion for arithmetic quotients of the symmetric space SL(n,R)/\SO(n). The definition is based on the study of the renormalized trace of the corresponding heat operators, which is defined as the geometric side of the Arthur trace formula applied to the heat operator

arXiv comment67 pages

References in corpus (6)

• On the torsion in the cohomology of arithmetic hyperbolic 3-manifolds
• Lectures on the Arthur--Selberg Trace Formula
• A torsion Jacquet--Langlands correspondence
• On the continuity of the geometric side of the trace formula
• On the analytic properties of intertwining operators I: global normalizing factors
• On the analytic torsion of hyperbolic manifolds of finite volume

Cited by in corpus (1)

• Approximation of $L^2$-analytic torsion for arithmetic quotients of the symmetric space $\mathrm{SL}(n,\mathbb{R})/\mathrm{SO}(n)$