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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Pure Maths Colloquium: On the Galois action on torsion points on elliptic curves

Presented by Chris Wuthrich, University of Nottingham

3 March 2014 16:00 in CM221

Let $E$ be an elliptic curve defined over $\mathbb{Q}$ and $p$ a
prime number. The $p$-torsion points among the complex points on $E$
are all algebraic and they form two copies of $\mathbb{F}_p$. Serre
asked questions and answered some about how the Galois group of
$\mathbb{Q}$ acts on these $p$-torsion points. I want to give an
introduction to these questions (accessible to non-number theorists)
that leads to studying certain modular curves. I wish to explain a new
moduli interpretation on the hardest of these naturally occurring
modular curves.

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