Extra Colloquium Mathematics, M. Afzal Soomro
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: | 10 February 2021 2.29 p.m. |
More news
-
16 April 2024
UG signs Barcelona Declaration on Open Research Information
In a significant stride toward advancing responsible research assessment and open science, the University of Groningen has officially signed the Barcelona Declaration on Open Research Information.
-
02 April 2024
Flying on wood dust
Every two weeks, UG Makers puts the spotlight on a researcher who has created something tangible, ranging from homemade measuring equipment for academic research to small or larger products that can change our daily lives. That is how UG...
-
18 March 2024
VentureLab North helps researchers to develop succesful startups
It has happened to many researchers. While working, you suddenly ask yourself: would this not be incredibly useful for people outside of my own research discipline? There are many ways to share the results of your research. For example, think of a...