arXiv subjects

Cyril Lacoste

Publications and source records attributed to Cyril Lacoste.

2 recordsLinked to original sources

arXiv2018

On the difficulty of finding spines

We prove that the set of symplectic lattices in the Siegel space $\mathfrak{h}_g$ whose systoles generate a subspace of dimension at least 3 in $\mathbb{R}^{2g}$ does not contain any $\mathrm{Sp}(2g,\mathbb{Z})$-equivariant deformation retract of $\mathfrak{h}_g$.

math.GR↗

arXiv2016

Dimension rigidity of lattices in semisimple Lie groups

We prove that if $Γ$ is a lattice in the group of isometries of a symmetric space of non-compact type without euclidean factors, then the virtual cohomological dimension of $Γ$ equals its proper geometric dimension.

math.AT↗