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SUMMARY:Luis Duarte (University of Genoa\, Genoa\, Italy)
DTSTART:20230224T120000Z
DTEND:20230224T130000Z
DTSTAMP:20260423T035409Z
UID:VCAS/160
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VCAS/160/">P
 erturbations of ideals in local rings</a>\nby Luis Duarte (University of G
 enoa\, Genoa\, Italy) as part of IIT Bombay Virtual Commutative Algebra Se
 minar\n\n\nAbstract\nLet I be an ideal of a Noetherian local ring R. We st
 udy 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 
 \npower of the maximal ideal. In particular\, assuming that R/J has the sa
 me Hilbert function as R/I\, we show that the Betti numbers of R/J coincid
 e with those of R/I. We also compare the local cohomology \nmodules of R/J
  with those of R/I.\n
LOCATION:https://researchseminars.org/talk/VCAS/160/
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