Virtual Commutative algebra seminar
Friday, 24 February 2023, 5:30pm IST
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Host: J. K. Verma
Venue: Gmeet link: meet.google.com/pur-voek-uvo
Speaker: Luis Duarte
Affiliation: University of Genoa, Genoa, Italy
Title: Perturbations of ideals in local rings
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. We also compare the local cohomology modules of R/J with those of R/I.
For more information and links to previous seminars, visit the website of VCAS: https://sites.google.com/view/virtual-comm-algebra-seminar