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SUMMARY:Dumitru Stamate (University of Bucharest\, Romania)
DTSTART:20210910T120000Z
DTEND:20210910T130000Z
DTSTAMP:20260423T021001Z
UID:VCAS/99
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VCAS/99/">Th
 e trace of the canonical module: algebra and combinatorics</a>\nby Dumitru
  Stamate (University of Bucharest\, Romania) as part of IIT Bombay Virtual
  Commutative Algebra Seminar\n\n\nAbstract\nLet R be a Cohen-Macaulay loca
 l ring (or positively graded K-algebra) with canonical module $\\omega_R.$
  The trace of the latter\, $tr(\\omega_R)\,$ is by definition\, the ideal 
 generated by the images of all R-module homomorphisms from $\\omega_R$ int
 o R. Since this ideal describes the non-Gorenstein locus of R\, it can be 
 viewed as a way to measure how far is R from being Gorenstein.\n\nIn terms
  of this ideal\, new classes of rings have been introduced\, and their pro
 perties are under scrutiny. We discuss some of these approaches\, with a s
 pecial focus on families of examples coming from combinatorics. \n\nThis t
 alk is based on joint works with J. Herzog\, T. Hibi\, R. Jafari and S. Ku
 mashiro.\n
LOCATION:https://researchseminars.org/talk/VCAS/99/
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