Force to change large cardinal strength

Set theory seminarFriday, March 20, 201512:00 pmGC 6417

Erin Carmody

Force to change large cardinal strength

The CUNY Graduate Center

Suppose $kappain V$ is a cardinal with large cardinal property $A$. In this talk, I will present several theorems which exhibit a notion of forcing $mathbb P$ such that if $Gsubseteq mathbb P$ is $V$-generic, then the cardinal $kappa$ no longer has property $A$ in the forcing extension $V[G]$, but has as many large cardinal properties below $A$ as possible. I will also introduce new large cardinal notions and degrees for large cardinal properties.

This talk is the speaker’s dissertation defense.

Erin Carmody is a visiting assistant professor at Nebraska Wesleyan University. Her research is in the field of set theory. She received her doctorate in 2015 under the supervision of Joel David Hamkins.

Posted by on February 21st, 2015