Event

Talk
"The Mumford conjecture and applications"
Oscar Randal-Williams, PhD (Cambridge)
4 Dec 2012, 15:30 – 16:30

I will describe how recent work inspired by Madsen and Weiss' proof of Mumford's conjecture (on the stable cohomology of the moduli space of Riemann surfaces) gives a conceptual and computational understanding of moduli spaces of Riemann surfaces with extra structure. In particular, I will explain the "homology stability alternative" for a given notion of extra structure: either the cohomology of the moduli spaces of Riemann surfaces with that structure stabilises, or else the set of connected components fails to stabilise.

Related to:

• Oscar Randal-Williams