Steinberg homology vanishes in a range for all reductive groups, and the double Tits building T^2(Z^n) is n-connected, refining the Church-Farb-Putman conjecture in degrees 1 and 2.
Corrigendum to "Stability in the high-dimensional cohomology of congruence subgroups" [Compos. Math. 156 (2020), no. 4, 822-861]
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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.
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Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures
Steinberg homology vanishes in a range for all reductive groups, and the double Tits building T^2(Z^n) is n-connected, refining the Church-Farb-Putman conjecture in degrees 1 and 2.