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
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.
