Noah Schoem : How to Singularize

Posted by Noah Schoem , part of the Louise Hay Logic Seminar.

At

Oct. 23, 2019, 4 p.m.

In

427 SEO

Abstract

Collapsing cardinals is fairly easy, but making regular cardinals into singular cardinals (without collapse) is more difficult. In addition to some results from inner model theory that give lower bounds on the needed large cardinal strength, we will also exposit on Prikry and Magidor forcing, posets of optimal large cardinal strength that make singularization possible. Time permitting, we will also discuss applications to relevant problems in set theory.