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Presented By: Topology Seminar - Department of Mathematics

Topology Seminar: On the high-dimensional rational cohomology of arithmetic Chevalley groups

Robin Sroka (McMaster University)

While the rational cohomology of arithmetic groups such as SL_n(Z) and Sp_{2n}(Z) can often be completely computed if the cohomological degree is small compared to n, little is known about it for high cohomological degrees. In this talk, I will discuss vanishing results that have recently been obtained for the high-dimensional rational cohomology of SL_n(Z), Sp_{2n}(Z) and other arithmetic Chevalley groups. This is related to a conjecture of Church--Farb--Putman and based on joint works with Brück--Miller--Patzt--Wilson, Brück--Patzt and Brück--Santos Rego.

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