Orbit equivalence rigidity of irreducible actions of right-angled Artin groups

Camille Horbez (Orsay)

21-Oct-2021, 14:05-14:55 (2 years ago)

Abstract:

A central goal in measured group theory is to classify free, ergodic, measure-preserving actions of countable groups on probability spaces up to orbit equivalence: that is, up to the existence of a measure space isomorphism sending orbits to orbits. Rigidity occurs when orbit equivalence of two actions forces them to be conjugate through a group isomorphism. In this talk, I will present orbit equivalence rigidity phenomena for actions of (centerless, one-ended) right-angled Artin groups, upon imposing that every standard generator acts ergodically on the space.

This is joint work with Jingyin Huang.

algebraic topologydifferential geometrydynamical systemsgroup theorygeometric topologysymplectic geometry

Audience: researchers in the topic

( paper | slides )


Geometry and topology online

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