Luis Duarte: Perturbations of ideals in local rings
Time: 2025-02-05, 13:15-14:15
Location: R2-141 (Västerås)
Video link: https://mdu-se.zoom.us/j/65033792049 External link.
Participating: Luis Duarte (Stockholm University)
Abstract: Let I be an ideal of a Noetherian local ring R. We study how properties of the ideal change under small perturbations, that is, when I is replaced by an ideal J which is the same as I modulo a large power of the maximal ideal. In particular, assuming that R/J has the same Hilbert function as R/I, we show that the Betti numbers of R/J coincide with those of R/I. |
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