Approximation of l2-analytic torsion for arithmetic quotients of the symmetric space SL.n;R/= SO.n/

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Standard

Approximation of l2-analytic torsion for arithmetic quotients of the symmetric space SL.n;R/= SO.n/. / Matz, Jasmin; Müller, Werner.

I: Journal of the Institute of Mathematics of Jussieu, Bind 19, Nr. 2, 2020, s. 307-350.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Matz, J & Müller, W 2020, 'Approximation of l2-analytic torsion for arithmetic quotients of the symmetric space SL.n;R/= SO.n/', Journal of the Institute of Mathematics of Jussieu, bind 19, nr. 2, s. 307-350. https://doi.org/10.1017/S1474748018000038

APA

Matz, J., & Müller, W. (2020). Approximation of l2-analytic torsion for arithmetic quotients of the symmetric space SL.n;R/= SO.n/. Journal of the Institute of Mathematics of Jussieu, 19(2), 307-350. https://doi.org/10.1017/S1474748018000038

Vancouver

Matz J, Müller W. Approximation of l2-analytic torsion for arithmetic quotients of the symmetric space SL.n;R/= SO.n/. Journal of the Institute of Mathematics of Jussieu. 2020;19(2):307-350. https://doi.org/10.1017/S1474748018000038

Author

Matz, Jasmin ; Müller, Werner. / Approximation of l2-analytic torsion for arithmetic quotients of the symmetric space SL.n;R/= SO.n/. I: Journal of the Institute of Mathematics of Jussieu. 2020 ; Bind 19, Nr. 2. s. 307-350.

Bibtex

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title = "Approximation of l2-analytic torsion for arithmetic quotients of the symmetric space SL.n;R/= SO.n/",
abstract = "In [31] we defined a regularized analytic torsion for quotients of the symmetric space by arithmetic lattices. In this paper we study the limiting behavior of the analytic torsion as the lattices run through sequences of congruence subgroups of a fixed arithmetic subgroup. Our main result states that for principal congruence subgroups and strongly acyclic flat bundles, the logarithm of the analytic torsion, divided by the index of the subgroup, converges to the -analytic torsion.",
keywords = "analytic torsion, locally symmetric spaces, trace formula",
author = "Jasmin Matz and Werner M{\"u}ller",
year = "2020",
doi = "10.1017/S1474748018000038",
language = "English",
volume = "19",
pages = "307--350",
journal = "Journal of the Institute of Mathematics of Jussieu",
issn = "1474-7480",
publisher = "Cambridge University Press",
number = "2",

}

RIS

TY - JOUR

T1 - Approximation of l2-analytic torsion for arithmetic quotients of the symmetric space SL.n;R/= SO.n/

AU - Matz, Jasmin

AU - Müller, Werner

PY - 2020

Y1 - 2020

N2 - In [31] we defined a regularized analytic torsion for quotients of the symmetric space by arithmetic lattices. In this paper we study the limiting behavior of the analytic torsion as the lattices run through sequences of congruence subgroups of a fixed arithmetic subgroup. Our main result states that for principal congruence subgroups and strongly acyclic flat bundles, the logarithm of the analytic torsion, divided by the index of the subgroup, converges to the -analytic torsion.

AB - In [31] we defined a regularized analytic torsion for quotients of the symmetric space by arithmetic lattices. In this paper we study the limiting behavior of the analytic torsion as the lattices run through sequences of congruence subgroups of a fixed arithmetic subgroup. Our main result states that for principal congruence subgroups and strongly acyclic flat bundles, the logarithm of the analytic torsion, divided by the index of the subgroup, converges to the -analytic torsion.

KW - analytic torsion

KW - locally symmetric spaces

KW - trace formula

UR - http://www.scopus.com/inward/record.url?scp=85082421298&partnerID=8YFLogxK

U2 - 10.1017/S1474748018000038

DO - 10.1017/S1474748018000038

M3 - Journal article

AN - SCOPUS:85082421298

VL - 19

SP - 307

EP - 350

JO - Journal of the Institute of Mathematics of Jussieu

JF - Journal of the Institute of Mathematics of Jussieu

SN - 1474-7480

IS - 2

ER -

ID: 240244185