Learning seminar: An introduction to large cardinals and L

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Speaker: 
Ryan Sullivant
Institution: 
UCI
Time: 
Mon, 02/05/2018 - 4:00pm - 5:30pm
Host: 
Martin Zeman
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.