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Heike Harenbrock

Tee-Seminar der AG Kramer: Camille Horbez (CNRS - Université Paris-Saclay): Measure equivalence rigidity among the Higman groups

Monday, 26.06.2023 14:15 im Raum SRZ 216/217

Mathematik und Informatik

In 1951, Higman introduced the first examples of infinite finitely presented groups without any nontrivial finite quotient. They have a simple presentation, with k ? 4 generators, where two consecutive generators (considered cyclically) generate a Baumslag-Solitar subgroup BS(1,2). Higman groups have received a lot of attention and remain mysterious in many ways. We study them from the viewpoint of measured group theory, and prove a superrigidity theorem in measure equivalence (a notion introduced by Gromov as a measurable analogue of quasi-isometry), as soon as the number k of generators is at least 5. I will explain the context and motivations, some consequences, and the main ideas from the proof. This is joint work with Jingyin Huang. Link to the seminar webpage for more information - https://www.wwu.de/AGKramer/index.php?name=TSSS23&menu=teach&lang=de



Angelegt am Tuesday, 20.06.2023 11:03 von Heike Harenbrock
Geändert am Tuesday, 20.06.2023 11:03 von Heike Harenbrock
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