2 papers
math.KT2026
The Goncharov Lie coalgebra of a field
Alexander Kupers, Daniil Rudenko, Ismael Sierra
This paper relates algebraic -theory of fields to polylogarithms via general linear groups. We introduce the Goncharov Lie coalgebra, defined in terms of the -homology…
math.AT2025
Homological stability for symplectic groups via algebraic arc complexes
Ismael Sierra, Nathalie Wahl
We use algebraic arc complexes to prove a homological stability result for symplectic groups with slope 2/3 for rings with finite unitary stable rank. Symplectic groups are here in…