Approximation of l2-analytic torsion for arithmetic quotients of the symmetric space SL.n;R/= SO.n/
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Approximation of l2-analytic torsion for arithmetic quotients of the symmetric space SL.n;R/= SO.n/. / Matz, Jasmin; Müller, Werner.
In: Journal of the Institute of Mathematics of Jussieu, Vol. 19, No. 2, 2020, p. 307-350.Research output: Contribution to journal › Journal article › Research › peer-review
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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