# Séminaires : Séminaire de Logique Lyon-Paris

 Equipe(s) : lm, Responsables : O. Finkel, T. Ibarlucía, A. Khélif, S. Rideau, A. Vignati Email des responsables : Salle : https://bigbluebutton.imj-prg.fr/b/sil-gwg-gge Adresse : Sophie Germain Description

 Orateur(s) David Aspero - University of East Anglia , Titre The special $\aleph_2$-Aronszajn tree property and GCH Date 15/10/2018 Horaire 15:10 à 16:10 Diffusion Résume Assuming the existence of a weakly compact cardinal, we build a forcing extension in which GCH holds and every $\aleph_2$-Aronszajn tree is special. This answers a well-known question from the 1970's. I will present the proof of this theorem, with as many details as possible. This is joint work with Mohammad Golshani. Salle https://bigbluebutton.imj-prg.fr/b/sil-gwg-gge Adresse Sophie Germain