Seminario Teoría de Grupos
The sigma 1 and 2 invariants for Artin groups
Ponente: Marcos Escartín (Universidad de Zaragoza)Fecha: miércoles 20 de noviembre de 2024 - 11:30Lugar: Aula Gris 2, ICMAT
Resumen:
The Sigma-invariants are geometric invariants that encode the homological and homotopical finiteness properties of all co-abelian subgroups, i.e. subgroups of the form G’<N<G. On the other hand, the family of Artin groups is an important family of groups that generalizes the families of free groups, free abelian groups, right angled-Artin groups and braid groups among others.
The aim of this talk is to present two conjectures on the structure of the sigma 1 and sigma 2 invariants for Artin groups and to prove that they are true for some particular subfamilies of those groups.
