## 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.