EVENT DETAILS AND ABSTRACT

Title: On p-adic strengthenings of the Manin-Mumford conjecture
Speaker: Vlad Serban
Speaker Info: Northwestern University
Brief Description:
Special Note:
Abstract:

Let G be an abelian variety or a product of multiplicative groups G_m^n and let C be an embedded curve. The Manin-Mumford conjecture (a theorem by work of Lang, Raynaud et al.) states that only finitely many torsion points of G can lie on C unless C is in fact a subgroup of G. We show how these algebraic statements extend to analytic functions on open p-adic unit poly-disks. We use our results to study $p$-adic families of automorphic forms parametrized by weights inside these disks.