# On the Distribution of Splitting Behavior in Number Fields Depending on $p$

## Christine McMeekin (Cornell University)

### Wednesday, February 7, 2018 11:15 amMONT 313

I will discuss a new formula for the density of primes which exhibit a given splitting behavior in certain number fields depending on the prime in question. The dependence of the number field on the prime forces ramification in every case, distinguishing this type of question from the classical results of Dirichlet and Chebotarev on the density of splitting behavior of primes in \textit{fixed} number fields.