23 - 25 August 2018, KNAW Academy Colloquium "Generalised Baire Spaces", Amsterdam, The Netherlands

The study of generalised Baire spaces has developed into a research area in its own right with a rich overarching theory, internally motivated open questions (cf. Khomskii, Laguzzi, Loewe, Sharankou 2016) and an active research community, combining methods and techniques from several branches of set theory as well as classical model theory. While many concepts from the classical setting can be transferred to generalised Baire space and some classical results remain true at uncountable cardinals, in general the rich combinatorial nature of uncountable cardinals causes the theory of the corresponding spaces to differ significantly, e.g., notions which are equivalent in the classical setting can lead to different notions in the generalised theory. Phenomena like this shed light on structures and properties otherwise hidden in the classical setting.

This Academy Colloquium is a reunion of the research community after a hiatus of two years. The Colloquium will be preceded by an associated KNAW Master Class for postgraduate students in order to prepare them for the talks at the Colloquium.