Curves over finite fields (BM)
Collegejaar:  20172018 

Studiegidsnummer:  4373CRVFF 
Docent(en): 

Voertaal:  Engels 
Blackboard:  Nee 
EC:  6 
Niveau:  400 
Periode:  Semester 1 
 Wel Keuzevak
 Wel Contractonderwijs
 Wel Exchange
 Wel Study Abroad
 Geen Avondonderwijs
 Wel AlaCarte en Aanschuifonderwijs
 Geen Honours Class
Description
In this course, we study the rational points on curves over finite fields : they are solutions of some polynomial equations and we are particularly interested in their number. We introduce and use various tools to give bounds on the number of such points : algebraic geometry, zeta functions, …
We motivate this study by explaining various applications (to coding theory, to cryptography, to exponential sums, …) and we give many examples. We will also investigate some statistical aspects, such as the average number of points on certain families of curves.
Examination
Homework assignments will count for 50% of the final grade.
The final exam will account for the remaining 50%.
Prerequisites
Algebra 1, 2, 3.
Literature
Handouts of slides, partial lecture notes and research papers will be provided during the course.
Maakt deel uit van  Soort opleiding  Semester  Blok 

Mathematics  Master  1  
Wiskunde  Bachelor  1 