Combinatorics of Singular Cardinals
Matthew Foreman


This talk discusses advances in the field of combinatorics of singular
cardinals, encompassing several techniques including stationary set
reflection, PCF theory, squares and forcing.

It will focus on two developments:

1.) An important strengthening of the classical Lowenheim Skolem theorem
(provable in ZFC) along with some applications.

2.) A theory of stationary subsets of singular cardinals (of countable
cofinality) with appropriate Fodors Lemma etc.