# 2015 seminar talk: Generic I0 at $\aleph_\omega$

Talk held by Vincenzo Dimonte (TU Wien) at the KGRC seminar on 2015-03-19.

### Abstract

An over-the-top attempt of proving the consistency of $\aleph_\omega$ Jónsson provided instead an interesting choiceless model, that produces drastically counterintuitive results about the combinatorics of $\aleph_\omega$, especially if compared to the pcf results in ZFC. There will be ample time to set these new results into the framework of Set Theory and to discuss their motivation. This research is a result of discussions with Hugh Woodin.