# Young Topologists Meeting 2017 @ Stockholm University & Royal Institute of Technology (KTH)

On . Title: The Lambrechts–Stanley Model of Configuration Spaces.

We prove a conjecture of Lambrechts and Stanley about the homotopy invariance and the definition of models for configuration spaces of (smooth) simply connected manifolds over $\mathbb{R}$. We do this using ideas coming from Kontsevich’s proof of the formality of the little disks operads.

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