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Lang's conjecture and level structures on abelian varieties

Speaker: Anthony Várilly-Alvarado

Date: Thu, Apr 7, 2016

Location: PIMS, Simon Fraser University

Conference: PIMS CRG in Explicit Methods for Abelian Varieties

Subject: Mathematics

Class: Scientific

Abstract:

Before Mazur proved his theorem on the possible torsion groups on elliptic curves over Q, Manin had shown in 1969 that for a fixed number field K and prime p, the p-primary torsion of elliptic curves over K was uniformly bounded. We will explain a result in this direction for more general abelian varieties, subject to Lang's conjecture on rational points on varieties of general type. This is joint work with Dan Abramovich.