Cohomology of arithmetic groups
22.10.2022 -
The preprint "On the top-dimensional cohomology of arithmetic Chevalley groups" by Benjamin Brück, Yuri Santos Rego and Robin Sroka has been recently uploaded to the arXiv!
Link to the paper: arXiv:2210.12784
Abstract:
Let K be a number field with ring of integers D and let G be a Chevalley group scheme not of type E8, F4 or G2. We use the theory of Tits buildings and a result of Tóth on Steinberg modules to prove that H^vcd(G(D);Q) = 0 if D is Euclidean.