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SUMMARY:Steven Kleiman (MIT)
DTSTART:20210224T183000Z
DTEND:20210224T200000Z
DTSTAMP:20260423T021729Z
UID:BRAG/31
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BRAG/31/">Ge
 ometry of Gorenstein Artinian Algebra</a>\nby Steven Kleiman (MIT) as part
  of Brazilian algebraic geometry seminar\n\n\nAbstract\nMacaulay Duality\,
  between filtered quotients of a polynomial ring over\na field\, annihilat
 ed by a power of the variables\, and Artinian\nsubmodules of the ring's gr
 aded dual\, is generalized over any Noetherian\nground ring\, and used to 
 provide isomorphisms between the subschemes of\nthe Hilbert scheme paramet
 erizing various sorts of these quotients\, and\nthe corresponding subschem
 es of the Quot scheme of the dual.  Notably\,\non this basis\, the scheme 
 of compressed Gorenstein algebras is proved to\nbe smooth and irreducible 
 of a certain relative dimension. Joint work in progress with Jan Kleppe.\n
LOCATION:https://researchseminars.org/talk/BRAG/31/
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