Refined Sato-Tate conjecture

par Prof. Taro Kimura

vendredi 8 janv. 2021, 14:00 → 15:00 Europe/Paris

Zoom (Institut Camille Jordan)

The Sato-Tate conjecture is about the statistical distribution of the number of rational points on elliptic curves over the finite field, which has been proven by Tayler and collaborators. In this study, we numerically examine fluctuation of the distribution to present a refined version of the Sato-Tate conjecture claiming that they are i.i.d.