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Meta
Tag Archives: congruence subgroups
ArXiv x 3
Three recent arXiv preprints this week caught my interest and seemed worth mentioning here. The first is a paper by Oscar Randal-Williams, which considers (among other things) the cohomology of congruence subgroups of \(\mathrm{SL}_N(\mathbf{Z})\) in the stable range. This is … Continue reading
Posted in Uncategorized
Tagged Andrew Blumberg, Andrew Putman, Benson Farb, Bill Thurston, completed cohomology, congruence subgroups, Dalimil Mazáč, Jordan Ellenberg, Melanie Wood, Michael Mandell, Nigel Boston, Oscar Randal-Williams, Peter Kravchuk, Simon Marshall, Sridip Pal, Thomas Church, Will Hearst, Will Sawin, William Stein
2 Comments
Virtual Congruence Betti Numbers
Suppose that \(G\) is a real semisimple group and that \(X = \Gamma \backslash G/K\) is a compact arithmetic locally symmetric space. Let us call a cohomology class tautological if it is invariant under the group \(G\). For example, if … Continue reading