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The eleventh cohomology of moduli spaces of stable curves

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If you have a question about this talk, please contact Dhruv Ranganathan.

The odd cohomology groups Hk, for k at most 9, of the moduli spaces of stable curves of genus g with n marked points all vanish by work of Arbarello—Cornalba (k=1,3,5) and Bergström—Faber—Payne (k=7,9). On the other hand H11 of the moduli space of stable genus 1 curves with at least 11 marked points never vanishes because of the existence of the discriminant cusp form. I will explain the surprising result that H^11 vanishes in all other cases. This talk is based on joint work with Hannah Larson and Sam Payne.

This talk is part of the Algebraic Geometry Seminar series.

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