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The "Mumford conjecture" package, and applications
If you have a question about this talk, please contact Ivan Smith.
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 focus on two interesting examples: the moduli spaces of r-Spin Riemann surfaces, and the universal Picard variety over the moduli space of curves, and explain how these methods can be used to compute their integral Picard groups.
This talk is part of the Differential Geometry and Topology Seminar series.
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