| Saturday 20 April 2024 | |
| Events for day: Thursday 13 August 2020 |
| 18:00 - 19:00 Commutative Algebra Webinars Cellular Resolutions of Powers of Monomial Ideals of Projective Dimension One School MATHEMATICS One of the most fruitful directions in the study of monomial ideals is finding topological objects whose chain maps can be adapted to a free resolution of the ideal. The catalyst of this approach was the Taylor resolution of a monomial ideal, which is supported on a simplicial complex, but is largely non-minimal. While not all monomial ideals have minimal free resolutions supported on a simplicial (or even CW) complex, it is known that a square-free monomial ideal of projective dimension one has a minimal free resolution supported on a tree. We show that the powers of such an ideal have minimal free r ... |