A criterion for sharpness of the Elekes-Szabó theorem in positive characteristic

Seminar series

Advanced Class Logic

Date

Thu, 15 May 2025

Time

11:00 - 12:00

Location

Speaker

Lucas Nistor

Organisation

École Normale Supérieure

We establish that a criterion based on ring-theoretic amenability is both necessary and sufficient for the abelian version of the Elekes-Szabó theorem to be sharp in the case of positive characteristic. Moreover, the criterion is always sufficient. We provide illustrative examples in the theories ACF_p and DCF_0.