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SUMMARY:Nasrin Altafi (KTH Stockholm)
DTSTART:20201019T161500Z
DTEND:20201019T171500Z
DTSTAMP:20260423T021526Z
UID:GASC/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GASC/3/">Hil
 bert functions of Gorenstein algebras with  Lefschetz properties</a>\nby N
 asrin Altafi (KTH Stockholm) as part of Geometry\, Algebra\, Singularities
 \, and Combinatorics\n\n\nAbstract\nIn 1995 T. Harima characterized Hilber
 t functions of Artinian Gorenstein algebras with\nthe weak Lefschetz prope
 rty and proved that they are\, in fact\, Stanley–Iarrobino (SI)-\nsequen
 ces. In this talk\, I will generalize T. Harima’s result and prove that 
 SI-sequences\nclassify the Hilbert functions of Artinian Gorenstein algebr
 as with the strong Lefschetz\nproperty. The proof uses the Hessian criteri
 on by T. Maeno and J. Watanabe. Using this\ncriterion\, I will also provid
 e classes of Artinian Gorenstein algebras of codimension three\nsatisfying
  the strong Lefschetz property.\n
LOCATION:https://researchseminars.org/talk/GASC/3/
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