Seminario Teoría de Grupos ICMAT-UAM

Miercoles 24/10/2018, 11:30, Aula 520, UAM

Ponente: Cristóbal Rivas (Universidad de Santiago de Chile)

Title: Positive cones in finitely generated groups.

Abstract: A positive cone in a group is the set of group elements which are positive in a total left-multiplication invariant order of the group. Naturally, the set of all positive cone in a group is a compact set, and a natural question is to try to understand isolated points in that space and groups supporting such isolated orders.

In this talk i will review some of the results regarding the above question, and try to relate/compare them to regularity properties of the languages describing such positive cones.