Speaker: 

Ryan Sullivant

Institution: 

UCI

Time: 

Monday, February 5, 2018 - 4:00pm to 5:30pm

Host: 

Location: 

RH 440R

In this talk, we will cover the basics of measurable cardinals and their relationship to non-trivial elementary embeddings.  We proceed with basic facts about the constructible universe, L.  After laying this groundwork, we show L cannot have a measurable cardinal.  Time permitting, we will discuss the dichotomy introduced by Jensen's covering lemma: either L is a good approximation to V, or there is a non-trivial elementary embedding from L to L.