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Configuration spaces of points and real Goodwillie-Weiss calculus

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HHHW04 - Manifolds

The manifold calculus of Goodwillie and Weiss proposes to reduce questions about embedding spaces of manifolds to questions about mapping spaces of the (little-disks modules of) configuration spaces of points on those manifolds. We will discuss real models for these configuration spaces. Furthermore, we will see that a real version of the aforementioned mapping spaces is computable in terms of graph complexes. In particular, this yields a new tool to study diffeomorphism groups and moduli spaces.

This talk is part of the Isaac Newton Institute Seminar Series series.

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