23 citations · 149 across the 33 of their papers we have counts for
35 papers
The Relative Lie Algebra Cohomology of the Weil Representation
Jacob Ralston
We study the relative Lie algebra cohomology of with values in the Weil representation of the dual pair $\mathrm{Sp}(2k, \mathbb{R}) \times \mathrm{O}…
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…
The Hodge conjecture and arithmetic quotients of complex balls
Nicolas Bergeron, John Millson, Colette Moeglin
Let be a closed Shimura variety uniformized by the complex -ball. The Hodge conjecture predicts that every Hodge class in $H^{2k} (S, \Q)$, , is algebraic. W…
On representation varieties of 3-manifold groups
John J. Millson, Michael Kapovich
We prove universality theorems ("Murphy's Laws") for representation schemes of fundamental groups of closed 3-dimensional manifolds. We show that germs of SL(2,C)-representation sc…
Hodge type theorems for arithmetic manifolds associated to orthogonal groups
Nicolas Bergeron, John Millson, Colette Moeglin
We show that special cycles generate a large part of the cohomology of locally symmetric spaces associated to orthogonal groups. We prove in particular that classes of totally geod…