Spring 2018, Thursdays, Blocker 506A, 4:00-4:50 PM

Date: April 12

"  Counterexamples for Cohen-Macaulayness of Lattice Ideals "
  Aleksandra Sobieska-Snyder  


Let $\mathscr{L} \subseteq \mathbb{Z}^n$ be a lattice, $I$ its corresponding lattice ideal, and $J$ the toric ideal arising from the saturation of $\mathscr{L}$. We produce infinitely many examples, in every codimension, of pairs $I,J$ where one of these ideals is Cohen-Macaulay but the other is not.