## Number Theory Seminar

T. Alden GassertHobart and William Smith Colleges
Discriminants of iterated extensions
Friday, November 17, 2017 - 2:30pm
Malott 206

Let $f(x) = x^2+c \in \mathbb Z[x]$, and let $K$ be a number field generated by a root of $f^n(x)$ (assuming $f^n(x)$ is irreducible). The purpose of this talk is to determine the multiplicities of primes dividing the discriminant of $K$. As a consequence of our result, we identify a sufficient condition for $K$ to be monogenic.