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SUMMARY:Chris Eur (Stanford)
DTSTART:20200904T190000Z
DTEND:20200904T200000Z
DTSTAMP:20260407T214734Z
UID:agstanford/22
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/agstanford/2
 2/">Simplicial generation of Chow rings of matroids</a>\nby Chris Eur (Sta
 nford) as part of Stanford algebraic geometry seminar\n\n\nAbstract\nWe pr
 esent a new set of generators for the Chow ring of a matroid.  We show tha
 t these generators behave like base-point-free divisors by establishing th
 at (i) they correspond to matroid operations that combinatorially mirror h
 yperplane pullbacks\, and (ii) the volume polynomial with respect to these
  generators satisfies Hodge-type inequalities.  We thereby generalize Post
 nikov's results on generalized permutohedra\, and also give a simplified p
 roof of the combinatorially relevant portion of the Hodge theory of matroi
 ds developed by Adiprasito-Huh-Katz.  No knowledge of matroids will be ass
 umed.  This is joint work with Spencer Backman and Connor Simpson.\n\nThe 
 discussion for Christopher Eur’s talk is taking place not in zoom-chat\,
  but at https://tinyurl.com/2020-09-04-ce  (and will be deleted after 3-7 
 days).\n
LOCATION:https://researchseminars.org/talk/agstanford/22/
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