Title: New instances of equivariant Noetherianity
Abstract: When a group or monoid G acts on a ring R by means of endomorphisms, we say that R is G-Noetherian if every ascending chain of G-stable ideals in R is eventually constant; and we call R *topologically* G-Noetherian if this condition holds at least for chains of G-stable radical ideals.
Over the last 15 years, many examples of (topologically) G-Noetherian rings have been discovered. I will first discuss some of the older results and their motivation. Here G is usually the infinite symmetric group Sym or the infinite general linear group GL over an infinite field.