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SUMMARY:Hunter Novak Spink (Stanford University)
DTSTART:20230119T200000Z
DTEND:20230119T210000Z
DTSTAMP:20260423T022732Z
UID:Matroids/29
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Matroids/29/
 ">Log-concavity of matroid h-vectors and mixed Eulerian numbers</a>\nby Hu
 nter Novak Spink (Stanford University) as part of Matroids - Combinatorics
 \, Algebra and Geometry Seminar\n\nLecture held in Room 210 The Fields Ins
 titute.\n\nAbstract\nThe combinatorial Chow ring of a matroid produces log
 -concave sequences from a list of polytopes called "generalized permutahed
 ra". If we take S_n-invariant polytopes\, then we obtain matroid invariant
 s\, but what invariants do we obtain? We will discuss how many such invari
 ants are linear combinations of the h-vector of the independence complex o
 f a matroid by "mixed Eulerian numbers"\, and how this proves a strengthen
 ing of a conjecture of Dawson on the log-concavity of the matroid h-vector
 .\n
LOCATION:https://researchseminars.org/talk/Matroids/29/
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