| Saturday 27 April 2024 | |
| 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 ... |