Doktorandseminarium: Monomial ideals with tiny squares

  • Datum:
  • Plats: Ångströmlaboratoriet
  • Föreläsare: Oleksandra Gasanova
  • Kontaktperson: Volodymyr Mazorchuk
  • Seminarium

Abstract: Let J ⊂ K[x, y] be a monomial ideal and let G(J) denote the (unique)  minimal monomial generating set of J. How small can G(J^2) be in terms of G(J)? We expect that the inequality |G(J^2 )| > |G(J)| should hold whenever |G(J)| ≥ 2.

In my talk I will disprove this  expectation and provide a somewhat surprising answer to the above question.