The second CRN Lecture will take place on June 1, 2024 at 11:45–12:45 in room 1.27, blgd. C-13, as a part of the 2^nd Wrocław Logic Conference. Our speaker is

Prof. Jan van Mill (University of Amsterdam)

who will give a talk

On the modal logic of certain Čech–Stone compactifications

Abstract of the talk:

We discuss topological results that determine the modal logics of ω*, βω and β(ω²). (Here ω² is the ordinal ω², hence topologically it is a discrete union of countably many nontrivial convergent sequences.) For ω* and βω these are known ZFC results. The new result is for β(ω²) and partially answers a question of Shehtman. Its proof relies on Parovičenko’s characterization of ω* under the Continuum Hypothesis.