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
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
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