# Algebra/Number Theory Seminar

## Elliptic Curves with Nonabelian Entanglements

Kenneth McMurdy, Ramapo college, NJ

Wednesday, February 21st, 2018
12:00 PM - 1:00 PM
Hylan 1106A

Let $K$ be a number field. An elliptic curve $E/K$ is said to have a non-abelian entanglement if there are relatively prime positive integers, $m_1$ and $m_2$, such that $K(E[m_1])\cap K(E[m_2])$ is a non-abelian Galois extension of $K$. In this talk, we will discuss our (joint with Nathan Jones) ongoing efforts to classify, using explicit methods, all infinite families of elliptic curves $E/K$, for a fixed $K$, that have a non-abelian entanglement.

Event contact: dinesh dot thakur at rochester dot edu