Corrigendum to "Stability in the high-dimensional cohomology of congruence subgroups" [Compos. Math. 156 (2020), no. 4, 822-861]

TL;DR

This paper addresses a correction to a previous mathematical work on the stability properties of high-dimensional cohomology in congruence subgroups, clarifying and fixing an identified mistake.

Contribution

The authors provide a detailed correction to their earlier results, ensuring the accuracy of the stability analysis in the cohomology of congruence subgroups.

Findings

Identified and corrected a mistake in the original proof

Clarified the conditions for stability in high-dimensional cohomology

Ensured the validity of previous results after correction

Abstract

After the publication of [Compos. Math. 156 (2020), no. 4, 822-861], Andrew Putman pointed out a mistake in our paper and helped us fix it. In this note, we will explain what this mistake is and how to fix it.