Curves over finite fields
Speaker：Gerard van der Geer
Schdule： Tue 15:20-16:55, Thu 13:30-15:05，2019-9-17 ~ 11-12
Venue：Tuesday at Jing Zhai 112; Thursday at Lecture Hall, Jin Chun Yuan West Bldg.
Curves over finite fields form an interesting and accessible topic in its own right, but it finds applications in coding theory and cryptography. We shall treat the basic theory of curves over finite fields. Topics include ithe zetafunction, the Hasse-Weil bound and its improvements, maximal and optimal curves, curves with many points, asymptotics, towers, modular curves, supersingular curves, relation with coding theory.
References to the literature will be given at the beginning of the course.