Centre de recherches mathematiques
Pacific Institute for the Mathematical Sciences
September 6, 2012
at 3:30 p.m.
2012 CRM-Fields-PIMS Prize Lecture
Stevo Todorcevic, University of Toronto
at Fields Institute
Title: Walks on Ordinals and Their Characteristics
Abstract: Discovering new canonical structures in set theory such as, for example, the Hausdorff gap or the Aronszajn tree are rare phenomena. This is particularly true when the structures are not countable due to the fact that the set-theoretic independence results are much more frequent in that realm. Characteristics associated to walks on ordinals have shown to be a powerful technology in discovering and describing canonical structures of set theory. This lecture will present some of the best known such characteristics together with the canonical structures they lead to.