Modular Points on Elliptic Curves

par Richard Hatton (University of Nottingham)

mardi 28 mai 2019, 10:45 → 11:45 Europe/Paris

Bât. Braconnier, salle 112 (ICJ, Université Lyon 1)

In the arithmetic of elliptic curves, we are interested in the construction of points on an elliptic curve. In particular, it has been shown that we are able to bound certain Selmer groups using modular points, specifically the use of Heegner points by Kolyvagin and self points by Wuthrich. We will define these points and will show how they can be used to create the bounds and its generalisations.