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Extra Colloquium Mathematics, M. Afzal Soomro

05 June 2013

Join us for coffee and tea at 15.30 p.m.

Date:                           Wednesday, June 5th 2013
Speaker:                     M. Afzal Soomro
Room:                         5161.0293 (Bernoulliborg)
Time:                          16.00-17.00

Title:   "Algebraic curves over finite fields."


Abstract:

Algebraic curves over finite fields have applications in various fields such as cryptography,
coding theory. These applications triggered the search for curves with many points. We
denote by N_q(g) the maximum number of points that a curve of genus "g" over a finite
field of cardinality "q" can have. We have a bound for N_q(g) called Hasse-Weil-Serre bound.
A curve is called "maximal" if its number of points is equal to this bound, and it is called "good"
if its number of points is within 10% of the bound. In this talk we present lots of explicit
equations of maximal and good curves.

We will also talk about an extension of Manin's elementary proof, which gives the bound for
N_q(g) for the special case g=1.



Colloquium coordinators are Prof.dr. A.C.D. van Enter (e-mail : A.C.D.van.Enter@rug.nl) and

Dr. A.V. Kiselev (e-mail: a.v.kiselev@rug.nl )

http://www.rug.nl/research/jbi/news/colloquia/mathematics-colloquia/

Last modified:06 June 2018 2.04 p.m.

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