38 citations · 102 across the 18 of their papers we have counts for
4 papers · 1 filter
The Noether-Lefschetz conjecture and generalizations
Nicolas Bergeron, Zhiyuan Li, John Millson +1
We prove the Noether-Lefschetz conjecture on the moduli space of quasi-polarized K3 surfaces. This is deduced as a particular case of a general theorem that states that low degree…
The Relative Lie Algebra Cohomology of the Weil Representation of SO(n,1)
Nicolas Bergeron, John J. Millson, Jacob Ralston
In Part 1 of this paper we construct a spectral sequence converging to the relative Lie algebra cohomology associated to the action of any subgroup of the symplectic group on t…
Twisted limit formula for torsion and cyclic base change
Nicolas Bergeron, Michael Lipnowski
Let be the group of complex points of a real semi-simple Lie group whose fundamental rank is equal to 1, e.g. $G= \SL_2 (\C) \times \SL_2 (\C)$ or $\SL_3 (\C)$. Then the fundam…
Torsion homology growth and cycle complexity of arithmetic manifolds
Nicolas Bergeron, Mehmet Haluk Sengun, Akshay Venkatesh
Let M be an arithmetic hyperbolic 3-manifold, such as a Bianchi manifold. We conjecture that there is a basis for the second homology of M, where each basis element is represented…