Anual Mensual Semanal Hoy Buscar Ir al mes específico Enero Febrero Marzo Abril Mayo Junio Julio Agosto Septiembre Octubre Noviembre Diciembre 2018 2019 2020 2021 2022 2023 2024 2025
Seminario Teoría de Grupos ICMAT-UAM

Seminario Teoría de Grupos ICMAT-UAM

Miercoles 4 de Diciembre, 12:30, Aula 520, Modulo 17, Ciencias, UAM

Claudio Llosa Isenrich (Max Planck Institute for Mathematics)

Title: Lower bounds on Dehn functions of residually free groups

Abstract:
The Dehn function of a finitely presented group $G$ with finite generating set $X$ is a quantitative measure for the difficulty of detecting whether a word in $X$ represents the trivial element in $G$. Dison raised the question if residually free groups admit a uniform polynomial upper bound on their Dehn functions. It is motivated by the existence of uniform polynomial upper bounds on interesting families of residually free groups, such as the Stallings--Bieri groups. In this talk we will show that the answer to Dison's question is negative, by proving that for every $rgeq 3$ there is a subgroup $G_r$ of a direct product of $r$ free groups with Dehn function bounded below by $n^r$. This is joint work with Romain Tessera.

Localización Miercoles 4 de Diciembre, 12:30, Aula 520, Modulo 17, Ciencias, UAM