RESEARCH GROUP

GEOMETRY

In a few weeks on 25 November, we will participate in the
 HaJeMaDre Algebra-Seminar in Halle,
the joint algebra seminar of the universities of Halle, Jena, Magdeburg and Dresden.

See you there!

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.

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.