Algebraic and Arithmetic Geometry Seminar

Computing linear relations between 1-periods

by Emre Sertoz (Leiden University)

Aula Seminari (Department of Mathematics)

Aula Seminari

Department of Mathematics


I will sketch a modestly practical algorithm to compute all linear relations with algebraic coefficients between any given finite set of 1-periods. This is based on the "qualitative description" of these relations by Huber and Wüstholz. We combine this result with the recent work on computing the endomorphism ring of abelian varieties by Bruin, Costa, Mascot, Lombardo, Sijsling, Voight, Zotine, and others. This is a work in progress with Joël Ouaknine and James Worrell.