Title:  Commutative Algebra up to Symmetry



Abstract:  Ideal theory over a polynomial ring in infinitely many variables is rather complicated which is (beside other things) due to the fact that this ring is not Noetherian. Since very recently one is interested in ideals in such a ring which are invariant under certain well-behaved monoid actions. We present some new results and open questions on algebraic properties of these ideals and associated objects of interest.

The talk is based on joint work with Uwe Nagel.