arXiv subjects

Morgan Cesa

Publications and source records attributed to Morgan Cesa.

2 recordsLinked to original sources

arXiv2015

Dehn functions of higher rank arithmetic groups of type $A_n$ in products of simple Lie groups

Suppose $Γ$ is an arithmetic group defined over a global field $K$, that the $K$-type of $Γ$ is $A_n$ with $n \geq 2$, and that the ambient semisimple group that contains $Γ$ as a lattice has at least two noncocompact factors. We use results from Bestvina-Eskin-Wortman and Cornulier-Tessera to show that $Γ$ has a polynomially bounded Dehn function.

math.GR↗

arXiv2015

$H^2(SL_3(\mathbb{Z}[t]); \mathbb{Q})$ is infinite dimensional

We prove that $H^2(SL_3(\mathbb{Z}[t]); \mathbb{Q})$ is infinite dimensional. The proof follows an outline similar to recent results by Cobb, Kelly, and Wortman, using the Euclidean building for $SL_3(\mathbb{Q}((t^{-1})))$ and a Morse function from Bux-Köhl-Witzel.

math.GR↗