Spaces of surfaces and Mumford's conjecture
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Thu, 30/04/2009 12:00 |
Oscar Randal-Williams (Oxford) |
Junior Geometry and Topology Seminar  |
SR1 |
| I will present a new proof of Mumford's conjecture on the rational cohomology of moduli spaces of curves, which is substantially different from those given by Madsen–Weiss and Galatius–Madsen–Tillmann–Weiss: in particular, it makes no use of Harer–Ivanov stability for the homology of mapping class groups, which played a decisive role in the previously known proofs. This talk represents joint work with Soren Galatius. | |||