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Sam Payne, PMA 9.166 : Cohomology of moduli spaces of curves
Thursday, September 15, 2022, 03:30pm - 04:30pm
The Langlands program makes striking predictions about the Hodge structures and Galois representations that can appear in the cohomology of moduli spaces of curves, via the conjectured correspondence with automorphic cuspidal representations of conductor 1 that are now classified in weights up to 22, by Chenevier and Lannes. In this talk I will outline the main ideas underlying these predictions and present joint work from two recent projects, one joint with Jonas Bergstr?m and Carel Faber, and the other joint with Sam Canning and Hannah Larson, that confirm these predictions in weights up to 12, and also provide a surprisingly precise description of the eleventh cohomology group of the Deligne-Mumford moduli space of stable curves.
Location: PMA 9.166

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