CORDIS Project
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This project investigates the structural properties and rigidity of various groups in geometric group theory, focusing on Artin groups, mapping class groups, and free group automorphisms. It aims to develop new theorems in measure equivalence and operator algebras to enhance understanding of these mathematical structur…
Negative curvature features of Artin groups, surface mapping class groups and outer automorphisms of free groups have been the subject of intense study in geometric group theory. I propose to confront this viewpoint with recent developments in measured group theory and operator algebras.
The focus is on obtaining structural and rigidity theorems in measure equivalence, and for von Neumann algebras associated to these groups and their ergodic actions.A first goal is to pursue the classification o…
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
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