James Freitag : Binding groups for algebraic dynamics

Posted by James Freitag , part of the Logic Seminar.

At

Feb. 11, 2025, 3:30 p.m.

In

636 SEO

Abstract

This is a mostly expository talk about several problems for algebraic dynamics (algebraic varieties with rational self-maps). We will introduce a recent construction of Kamensky and Moosa yielding a binding group for isotrivial algebraic dynamics. We will talk about applications of understanding this group action including the Zariski-dense orbit conjecture, the Dixmier-Moeglin conjecture, and the existence of invariant rational factors.