Stable moduli spaces of high-dimensional manifolds

Oscar Randal-Williams (Universitet Copenhagen)

Monday 24th October, 2011 15:00-16:00 416


Madsen and Weiss' theorem---identifying the stable homology of moduli spaces of Riemann surfaces---and the theorem of Barratt--Priddy, Quillen, and Segal---identifying the stable homology of classifying spaces of symmetric groups---fit into a natural hierarchy of statements concerning the homology of moduli spaces of (n-1)-connected 2n-manifolds. I will discuss recent joint work with Soren Galatius which as a special case proves these statements for all n = 3, 4, ...

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