Seminario

Seminario Teoría de Grupos

Cubically presented groups, asphericity, and the Cohen-Lyndon property

Ponente:  Macarena Arenas (University of Cambridge)
Fecha:  viernes 11 de octubre de 2024 - 17:00
Lugar:  Sala 238, Facultad de Matemáticas, UCM

Resumen:

We’ll explore the problem of finding effective models for the classifying spaces of certain quotients of fundamental groups of non-positively curved cube complexes, we’ll discuss the framework -- cubical small-cancellation theory -- that provides the necessary tools to do so, and we’ll explain how this viewpoint allows us to compute the homology and cohomology of various examples.