Speaker
Carel Faber
Abstract
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.