## Speaker:

Martin Zeman

## Institution:

UC Irvine

## Time:

Friday, February 5, 2021 - 4:00pm

## Host:

## Location:

Zoom Id: 946 8552 8096

In set theory one encounters statements which cannot be decided within a background theory one works in. Some of these statemetns can be shown to be consistent within standard background theories widely accepted in mathematics, but some of them require the use of very large sets, known under the term ``large cardinals". In this talk I will discuss how large cardinas naturally arise when studying relative consistencies and also give examples from mainstream mathematics which lead to relative consistencies and large cardinals.