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SUMMARY:Ilya Smirnov (BCAM-Basque Center for Applied Mathematics)
DTSTART:20220318T120000Z
DTEND:20220318T130000Z
DTSTAMP:20260423T021036Z
UID:VCAS/126
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VCAS/126/">L
 ech's inequality can be sharpened uniformly</a>\nby Ilya Smirnov (BCAM-Bas
 que Center for Applied Mathematics) as part of IIT Bombay Virtual Commutat
 ive Algebra Seminar\n\n\nAbstract\nThe classical Lech's inequality can be 
 viewed as a uniform\, independent of an ideal\, upper bound on the ratio o
 f the multiplicity and the colength of an m-primary ideal of a local ring.
  It was also observed by Lech that\, if the dimension is at least two\, it
  is not sharp for any given ideal. Recently\, we were able to show more: m
 ost of the time\, it is possible to improve Lech's upper bound so that it 
 works for all ideals. I will present the proof of this result and all requ
 ired background in multiplicity theory.\n
LOCATION:https://researchseminars.org/talk/VCAS/126/
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