Séminaires : Séminaire Général de Logique

Equipe(s) : lm,
Responsables :S. Anscombe, A. Khélif, A. Vignati
Email des responsables : sylvy.anscombe@imj-prg.fr, vignati@imj-prg.fr
Salle : 1013
Adresse :Sophie Germain

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Abonnement à la liste de diffusion

Orateur(s) Jeffrey Bergfalk - KGRC Vienna,
Titre Set theory and strong homology: an overview
Horaire16:00 à 17:15
Diffusion https://u-paris.zoom.us/rec/share/hHu2HYQg6TeE1o56YDh7N_2tYvC8u-r2arhhyxBvAJAQ3cECaARDWV8jfRFG1o_C.qEih7G9cjFZCkmBg
RésumeMotivated by several recent advances, we will provide a research history of the main set-theoretic problems arising in the study of strong homology. We will presume no knowledge, in our audience, of the latter. The aforementioned advances close out a second major phase of research in this area, leaving just a few conspicuous last "first questions," and our aim is to provide some context for engaging them. This research centers on multidimensional combinatorial phenomena generalizing the classical theme of \emph{nontrivial coherent families indexed by $^\omega\omega$}; its progress has involved an intriguing mix of classical (forcing axioms, iterations of large cardinal length) and novel (higher-dimensional $\Delta$-systems, simplicial combinatorics) set-theoretic techniques.
AdresseSophie Germain