Embeddings in Euclidean space and Galois actions
Moduli and Friends seminar
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Monday 16 May 2022

Pedro Boavida de Brito (Instituto Superior Técnico, University of Lisbon)Embeddings in Euclidean space and Galois actions

I'll describe a homotopical model for the space of smooth embeddings of a manifold in Euclidean space which takes as input a triangulation of the manifold. This model comes equipped with an interesting Galois action which, by a purity-implies-formality argument following Cirici-Horel, has strong consequences for the homology and homotopy of these embedding spaces. Rationally, this recovers some recent results of Fresse-Turchin-Willwacher. Based on joint work with Horel and previous work with Lambrechts, Songhafouo and Pryor.

* Eastern European Time, i.e. UTC+2 in winter and UTC+3 in summer.