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SUMMARY:Sema Güntürkün (University of Massachusetts Amherst)
DTSTART:20201202T150000Z
DTEND:20201202T160000Z
DTSTAMP:20260422T172305Z
UID:UCGEN/17
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCGEN/17/">O
 n the Eisenbud-Green-Harris conjecture.</a>\nby Sema Güntürkün (Univers
 ity of Massachusetts Amherst) as part of UCGEN - Uluslararası Cebirsel GE
 ometri Neşesi\n\n\nAbstract\nA generalization of the Macaulay’s theorem
  on the growth of Hilbert functions of homogeneous ideals in $K[x_1\,\\ldo
 ts\, x_n]$ is conjectured by Eisenbud\, Green and Harris in the 90s. The c
 onjecture\, also known as the EGH conjecture\, states that the lex-plus-po
 wers ideals show an extremal behavior among the homogeneous ideals contain
 ing regular sequences in terms of their Hilbert functions.  In this talk\,
  our focus will be on a case of the EGH conjecture for the homogeneous ide
 als containing a regular sequence of quadratic forms. This is a joint work
  with Mel Hochster.\n
LOCATION:https://researchseminars.org/talk/UCGEN/17/
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