Title: Hilbert Series of Monomial Orbits



Abstract:  Hilbert functions or Hilbert series contain useful information about ideals. First, we will define and compute these invariants in the classical setting of a polynomial ring in finitely many variables if the ideal is a principal ideal. Then we discuss the analogous result in the spirit of commutative algebra up to symmetry. For this we consider the orbit of a monomial in a polynomial ring in infinitely many variables.

The talk is based on joint work with Sema Gunturkun.