On the cohomology of moduli spaces of stable pointed curves: genus 4 and small n, and the vanishing of H^7 and H^9

Moduli and Algebraic Cycles

16 September 15:30 - 16:30

Carel Faber - Mathematisch Instituut

Joint work with Jonas Bergström and Sam Payne. For n at most 3, we determine the relevant terms of the point count of M_{4,n} over finite fields (S_n-equivariantly). Using several earlier results, we then determine the cohomology of \overline{M}_{4,n} and the full count for M_{4,n} and we deduce the mentioned vanishing for all g and n.

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John Christian Ottem
University of Oslo
Dan Petersen
Stockholm University
David Rydh
KTH Royal Institute of Technology


Dan Petersen


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