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Friday, October 12, 2018

**Abstract:** We read through "Følner tilings of actions of amenable groups" by C. Conley et al [arXiv]. In this third talk, I will introduce the notion of Banach density and prove the main theorem about the existence of Følner tilings a.e. using the Banach density version of the Rokhlin lemma (to be proven) and the Lyons–Nazarov matching theorem (proven last time).