News
Young Geometric Group Theory
This Winter in early 2023, the conference
Young Geometric Group Theory XI,
organized by Giles Gardam, Kasia Jankiewicz, Yuri Santos Rego and Bakul Sathaye, will take place in
Münster, from 13 to 17 February 2023.
The YGGT is an established conference series that brings together experts and young researchers working in geometric group theory and related topics.
Registration is open until the end of November 2022. For more information and to register, please visit the official homepage of the conference.
We hope to see you there!
Cluster Algebras
During this Winter Term, Josh Maglione is hosting a reading group on Cluster Algebras.
See you there!
Research news
The preprint "Families of polytopes with rational linear precision in higher dimensions" by Isobel Davies, Eliana Duarte, Irem Portakal and Miruna-Stefana Sorea has been recently uploaded to the arXiv!
Link to the paper: arXiv:2109.08151
Abstract:
In this article we introduce a new family of lattice polytopes with rational linear precision. For this purpose, we define a new class of discrete statistical models that we call multinomial staged tree models. We prove that these models have rational maximum likelihood estimators (MLE) and give a criterion for these models to be log-linear. Our main result is then obtained by applying Garcia-Puente and Sottile's theorem that establishes a correspondence between polytopes with rational linear precision and log-linear models with rational MLE. Throughout this article we also study the interplay between the primitive collections of the normal fan of a polytope with rational linear precision and the shape of the Horn matrix of its corresponding statistical model. Finally, we investigate lattice polytopes arising from toric multinomial staged tree models, in terms of the combinatorics of their tree representations.
Anna joins MathCoRe management board
Elected during the Annual Colloquium in Postdam from 3rd to 5th of October, Anna joins the management board of the MathCoRe research training group as a student representative.