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DESCRIPTION: A shelling order of a simplicial/polytopal complex is an order
 ing of the top dimensional faces that allows us to understand various prope
 rties of the underlying complex (when it exists). Empirically\, some shelli
 ng orders are better than others in the sense that they are easier to analy
 ze or come equipped with . This is especially notable for complexes that ad
 mit many shelling orders\, like polytopes and and matroid independence comp
 lexes. We propose a strange connection\, linking shelling orders of dual ma
 troid polytopes to shelling orders of independence complexes. In particular
 \, we show that several classical theorems about shellability of matroids h
 ave geometric interpretations. We use this to address to propose a new stra
 tegy for a 1977 conjecture of R. Stanley about face numbers of independence
  complexes: that the h-vector is a pure O-sequence. The talk is based on jo
 int work with Alex Heaton. 
DTSTAMP:20200122T133100
DTSTART:20200210T160000
CLASS:PUBLIC
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SUMMARY:José Samper (Max Planck Institut Leipzig): Dual matroid polytopes a
 nd the independence complex of a matroid
UID:105304870@/www.mi.fu-berlin.de
URL:https://www.mi.fu-berlin.de/en/facetsofcomplexity/monday/20200210-C-Sam
 per.html
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