38 citations · 102 across the 18 of their papers we have counts for
6 papers · 1 filter
Elliptic units for complex cubic fields
Nicolas Bergeron, Pierre Charollois, Luis E. García
We propose a conjecture extending the classical construction of elliptic units to complex cubic number fields . The conjecture concerns special values of the elliptic gamma func…
Eisenstein cohomology classes for over imaginary quadratic fields
Nicolas Bergeron, Pierre Charollois, Luis E. Garcia
We study the arithmetic of degree Eisenstein cohomology classes for locally symmetric spaces associated to over an imaginary quadratic field . Under natura…
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…
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…
The asymptotic growth of torsion homology for arithmetic groups
Nicolas Bergeron, Akshay Venkatesh
When does the amount of torsion in the homology of an arithmetic group grow exponentially with the covolume? We give many examples where this is so, and conjecture precise conditio…