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SUMMARY:William Gustafson (University of Kentucky)
DTSTART:20220127T151500Z
DTEND:20220127T160000Z
DTSTAMP:20260422T065833Z
UID:CJCS/54
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CJCS/54/">La
 ttice minors and Eulerian posets</a>\nby William Gustafson (University of 
 Kentucky) as part of Copenhagen-Jerusalem Combinatorics Seminar\n\n\nAbstr
 act\nWe introduce a notion of deletion and contraction on lattices enriche
 d with a generating set\, and from these operations a notion of minors. Wh
 en considering the lattice of flats of a graph the lattice minors are in b
 ijection with the simple minors of the graph when the vertices are labeled
  and the edges are unlabeled. We show how this correspondence generalizes 
 to the setting of polymatroids. Then we introduce the minor poset of a giv
 en generator enriched lattice and show these posets are Eulerian and PL sp
 heres. Finally we discuss some inequalities between the cd-indices of mino
 r posets.\n
LOCATION:https://researchseminars.org/talk/CJCS/54/
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