IPM Calendar 
Sunday 29 November 2020   Today  
Events for day: Thursday 12 November 2020    
           11:00 - 13:00     Commutative Algebra Webinar
Minimal free resolution of circuit ideal of chordal clutters

School
MATHEMATICS

Minimal free resolution of monomial ideals is one of the central topics in combinatorial commutative algebra. Many of numerical invariants of an ideal are encoded in Betti numbers obtained from minimal free resolution. In general, adding a generator $u$ to a given ideal $I$ may cause changing almost all Betti numbers of the new ideal $I+(u)$. In this talk, we consider a square-free monomial ideal $I$ and we show that under some conditions on a square-free monomial $u$, the Betti numbers of $I+(u)$ can be computed by those of $I$. Based on this result, for a given clutter $mathcal{C}$, we define the concept of simplicial sublutters and we show ...