Date
Mon, 26 Apr 2021
Time
16:00 - 17:00
Location
Virtual
Speaker
Jay Swar
Organisation
Oxford

I will briefly introduce the Chabauty-Kim argument for effective finiteness results on "topologically rich enough" curves. I will then introduce the Fontaine-Mazur conjecture and show how it provides an effective proof of Faltings' Theorem.

In the case of non-CM elliptic curves minus a point, following work of Federico Amadio Guidi, I'll show how the relevant input for effective finiteness is provided by the vanishing of adjoint Selmer groups proven by Newton and Thorne.

Last updated on 29 Jan 2025, 10:55am. Please contact us with feedback and comments about this page.