Seminario Teoría de Grupos
L^2 homology and fixed points of automorphisms
Ponente: Ismael Morales (University of Oxford)Fecha: miércoles 18 de septiembre de 2024 - 10:30Lugar: Sala 238, Facultad de Matemáticas, UCM
Resumen:
Many useful techniques in group theory have been originally developed for the purpose of studying subgroups of free groups and their ranks. A classical example of this type of questions is the following conjecture of Scott. Let F be the free group of finite rank n and let phi be an automorphism of F, then the subgroup of elements fixed by phi has rank at most n. This was settled by Bestvina and Handel by developing the analogue theory of train-track maps for free groups. We will discuss a new approach to this problem based on L^2-homology.
