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Stable moduli spaces of high dimensional manifolds

Søren Galatius
(Stanford University)
Onsdag, 14 september, 2011, at 15:15-16:15, in Aud. D3 (1531-215)
For a manifold P I will discuss the "moduli space of highly connected null bordisms of P". A null bordism of P is a compact manifold whose boundary is P, and the moduli space parametrizes such null bordisms. In joint work with Oscar Randal-Williams, we determine the stable cohomology of this moduli space when P is a manifold of odd dimension at least 5. Our answer is analogous to the Madsen-Weiss theorem, which is the case where P is a circle.