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An Isaac Newton Institute Workshop

An Introduction to Recent Applications of Model Theory

Mordell-Lang theorem for Drinfeld modules and minimal groups in the theory of separably closed fields

Author: Dragos Ghioca (UC Berkeley)

Abstract

We study the rings of quasi-endomorphisms of certain minimal groups in the theory of separably closed fields. These groups are associated to Drinfeld modules of finite characteristic. Based on our results, we are able to prove a Mordell-Lang statement for Drinfeld modules of finite characteristic.