Mimar Sinan Fine Arts University General Seminars

t-Spread Monomial Ideals
Ayesha Asloob Qureshi
Sabancı Üniversitesi, Turkey
Özet : We introduce the concept of t-spread monomials and t-spread strongly stable ideals. These concepts are a natural generalization of strongly stable and squarefree strongly stable ideals. For the study of this class of ideals we use the t-fold stretch- ing operator. It is shown that t-spread strongly stable ideals are componentwise linear. Their height, their graded Betti numbers and their generic initial ideal are determined. We also consider the toric rings whose generators come from t-spread principal Borel ideals. This talk is based on joint work with Viviana Ene and Jürgen Herzog.
  Tarih : 25.10.2018
  Saat : 16:00
  Yer : MSGSÜ Matematik Bölümü Seminer Salonu
  Dil : English