Effective height bounds for very unlikely intersections in abelian varieties
Martin Orr (University of Manchester)
Wednesday 29th October 16:00-17:00
Maths 311B
Abstract
The Mordell conjecture states that an algebraic curve of genus at least 2 has only finitely many rational points. This was proved by Faltings but it remains an open problem to prove it effectively i.e. to find an algorithm which can compute the set of rational points of every such curve. In this talk, I will discuss a method for solving this problem effectively in some special cases, involving "very unlikely intersections" between a curve and subgroups of an abelian variety and ideas of Bombieri and André about G-functions.
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