BEGIN:VCALENDAR
CALSCALE:GREGORIAN
PRODID:iCalendar-Ruby
VERSION:2.0
BEGIN:VEVENT
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
SEQUENCE:0
SUMMARY:JosÃ© Samper (Max Planck Institut Leipzig): Dual matroid polytopes a
nd the independence complex of a matroid
UID:105304870@www.facetsofcomplexity.de
URL:http://www.facetsofcomplexity.de/monday/20200210-C-Samper.html
END:VEVENT
END:VCALENDAR