SMS scnews item created by Anna Romanov at Wed 6 Feb 2019 0857
Type: Seminar
Modified: Thu 14 Feb 2019 1324
Distribution: World
Calendar1: 15 Feb 2019 1330-1530
CalLoc1: Carslaw 830
CalTitle1: Galatius - $E_\infty$-cells and general linear groups of finite fields
Auth: romanova@dora.maths.usyd.edu.au

# $E_\infty$-cells and general linear groups of finite fields

### Soren Galatius

We prove new homological stability results for general linear groups over finite fields. These results are obtained by constructing CW approximations to the classifying spaces of these groups, in the category of $E_\infty$-algebras, guided by computations of homology with coefficients in the $E_1$-split Steinberg module.

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