Logic Seminar
Alejandro Poveda
Harvard
Prikry-type forcings and singular cardinals
Abstract: In this talk I will report on the $\Sigma$-Prikry framework developed with Rinot and Sinapova. The main goal will be to describe an application of this framework to the study of stationary reflection at the level of singular cardinals. More precisely, I will describe how to get a model where GCH holds up to $\aleph_\omega$, SCH fails at $\aleph_{\omega+1}$ and stationary reflection holds at $\aleph_{\omega+1}$. This answers a question by Magidor from 1982. If time permits I will comment on some current work in progress.
Tuesday November 15, 2022 at 4:00 PM in 636 SEO