Equipe(s) : | lm, |
Responsables : | S. Anscombe, A. Vignati |
Email des responsables : | sylvy.anscombe@imj-prg.fr, vignati@imj-prg.fr |
Salle : | 1013 |
Adresse : | Sophie Germain |
Description |
Orateur(s) | Gianluca Paolini - Università di Torino, |
Titre | Torsion-Free Abelian Groups are Borel Complete |
Date | 12/05/2021 |
Horaire | 16:00 à 17:15 |
Diffusion | https://u-paris.zoom.us/rec/share/Bvb9JgR_S_zMpZhQzj7nHRbYH46thPYoHl1mezO1llZaVDWiUY8I9g7_O-bpCZvZ.w-zryZbLlLrIXU_o?startTime=1620828132000 |
Résume | We prove that the Borel space of torsion-free Abelian groups with domain $\omega$ is Borel complete, i.e., the isomorphism relation on this Borel space is as complicated as possible, as an isomorphism relation. This solves a long-standing open problem in descriptive set theory, which dates back to the seminal paper on Borel reducibility of Friedman and Stanley from 1989. |
Salle | 1013 |
Adresse | Sophie Germain |