Computational Algebra Seminar

Computational Algebra Seminar

Sebastian Pauli
CICMA, Montreal

Factoring Polynomials over Local Fields

Friday 23 February, 3-4pm

Carslaw Room 709

We describe an efficient new algorithm for factoring a polynomial $\Phi(x)$ over a field $K$ that is complete with respect to a discrete prime divisor. For every irreducible factor $\phi(x)$ of $\Phi(x)$ this algorithm returns an integral basis for $K[x]/\phi(x)K[x]$ over $K$.