Colloquium Mathematics, E.R. Duarte (PhD student)
|When:||Th 24-05-2018 16:00 - 17:00|
|Where:||Zernike, 5161.0293 (Bernoulliborg)|
Hasse-Weil Inequality and Primality Tests in the context of Curves of Genus 2
In this talk we show the Hasse-Weil inequality for curves of genus 2, inspired by an elementary proof by Yu.I. Manin in 1956. Further, we provide frameworks to construct algorithms for primality testing using algebraic groups obtained from curves of genus 0,1 and 2 over finite rings. The correctness of these algorithms will be shown to be dependent on the Hasse-Weil inequality.
Colloquium coordinators are Prof.dr. A.J. van der Schaft ( a.j.van.der.schaft rug.nl ),
Dr. A.V. Kiselev (e-mail: a.v.kiselev rug.nl )