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October 14: Oscar Randal-Williams (Cambridge)

Title: Moduli spaces of manifolds

The collection of all smooth closed d-dimensional submanifolds of n-dimensional euclidean space forms a space in a natural way. If n is large compared with d, then describing the path components of this space amounts to classifying d-manifolds. I will describe recent and ongoing work with Søren Galatius (Stanford) in which we describe some of the higher-dimensional topology of these spaces, in a sense which I will make precise. I will also explain some of the open problems in this area.

Wednesday, Oct. 14, 4:30 – 5:30 p.m.
Mathematics 520
Tea will be served at 4:00 p.m.

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