SMS scnews item created by Bill Unger at Mon 23 Apr 2018 1357
Type: Seminar
Modified: Tue 24 Apr 2018 1631
Distribution: World
Expiry: 27 Apr 2018
Calendar1: 26 Apr 2018 1600-1700
CalLoc1: Carslaw 535A
CalTitle1: Computational Algebra Seminar

Computational Algebra Seminar: Bauch -- Montes Algorithm In Function Fields

Speaker: Jens Bauch
Title: Montes Algorithm In Function Fields
Time & Place: 4-5pm Thursday 26 April, Carslaw 535

Let $A=k[t]$ be the polynomial ring over the perfect field $k$ and 
$f\in A[x]$ be a monic irreducible separable polynomial. Denote by $F/k$ the
function field determined by $f$ and consider a given non-zero prime
ideal $\mathfrak{p}$ of $A$. The Montes algorithm determines a new
representation, so called OM-representation, of the prime ideals of the
(finite) maximal order of $F$ lying over $\mathfrak{p}$. This yields a
new representation of places of function fields. In this talk we
summarize briefly some applications of this new representation; that are
the computation of the genus, the computation of the maximal order, and
the improvement of the computation of Riemann-Roch spaces.

ball Calendar (ICS file) download, for import into your favourite calendar application
ball UNCLUTTER for printing
ball AUTHENTICATE to mark the scnews item as read
School members may try to .