News

Cohomology of arithmetic groups

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.

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Newton polytope of good symmetric polynomials

The preprint "Newton polytope of good symmetric polynomials" by Giao Nguyen Thi Ngoc, Hiep Dang Tuan, Khanh Nguyen Duc and Thuy Do Le Hai has recently been accepted for publication in the journal Comptes Rendus Mathématique!

Link to the paper: arXiv:2205.03903

Abstract:
We introduce a general class of symmetric polynomials that have saturated Newton polytope and their Newton polytope has integer decomposition property. The class covers numerous previously studied symmetric polynomials.

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Welcome Duc Khanh Nguyen

We are excited to welcome back Duc Khanh Nguyen as a guest in our team.
He is completing until January 2023 a postdoctoral guest stay in our group, funded by his DAAD grant.
Khanh, it is great to have you back here in Magdeburg!

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