160 citations · 329 across the 26 of their papers we have counts for
29 papers
Cohomology of moduli spaces via a result of Chenevier and Lannes
Jonas Bergström, Carel Faber
We use a classification result of Chenevier and Lannes for algebraic automorphic representations together with a conjectural correspondence with -adic absolute Galois represe…
Polynomial point counts and odd cohomology vanishing on moduli spaces of stable curves
Jonas Bergström, Carel Faber, Sam Payne
We compute the number of F_q-points on M_{4,n}, for n less than or equal to 3, and show that it is a polynomial in q, using a sieve based on Hasse-Weil zeta functions. As an applic…
Concomitants of Ternary Quartics and Vector-valued Siegel and Teichmüller Modular Forms of Genus Three
Fabien Cléry, Carel Faber, Gerard van der Geer
We show how one can use the representation theory of ternary quartics to construct all vector-valued Siegel modular forms and Teichmüller modular forms of degree 3. The relation be…
The -equivariant top weight Euler characteristic of
Melody Chan, Carel Faber, Soren Galatius +1
We prove a formula, conjectured by Zagier, for the -equivariant Euler characteristic of the top weight cohomology of .
Covariants of binary sextics and modular forms of degree 2 with character
Fabien Cléry, Carel Faber, Gerard van der Geer
We use covariants of binary sextics to describe the structure of modules of scalar-valued or vector-valued Siegel modular forms of degree 2 with character, over the ring of scalar-…
Covariants of binary sextics and vector-valued Siegel modular forms of genus two
Fabien Cléry, Carel Faber, Gerard van der Geer
We extend Igusa's description of the relation between invariants of binary sextics and Siegel modular forms of degree two to a relation between covariants and vector-valued Siegel…