Monday, May 21, 2012, 4:00 PM
Speaker: Dima Sinapova (UCI)
Title: A bad scale and the failure of SCH at $\aleph_\omega$ III
Starting from a supercompact, we construct a model in which SCH fails at $\aleph_\omega$ and there is a bad scale at $\aleph_\omega$. The existence of a bad scale implies the failure of weak square. The construction uses two Prikry type forcings defined in different ground models and a suitably defined projection between them. This is joint work with Spencer Unger.