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SUMMARY:Jose Bastidas (Université du Québec à Montréal)
DTSTART:20221115T200000Z
DTEND:20221115T210000Z
DTSTAMP:20260423T024647Z
UID:Matroids/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Matroids/27/
 ">Polytope algebra of generalized permutohedra</a>\nby Jose Bastidas (Univ
 ersité du Québec à Montréal) as part of Matroids - Combinatorics\, Alg
 ebra and Geometry Seminar\n\nLecture held in Room 210 The Fields Institute
 .\n\nAbstract\nDanilov-Koshevoy\, Postnikov\, and Ardila-Benedetti-Doker t
 aught us that any generalized permutahedron is a signed Minkowski sum of t
 he faces of the standard simplex. In other words\, these faces correspond 
 to a maximal linearly independent collection of rays in the deformation co
 ne of the permutahedron. In contrast\, Ardila-Castillo-Eur-Postnikov obser
 ved that the faces of the cross-polytope only span a subspace of roughly h
 alf the dimension of the deformation cone of the type B permutahedron. In 
 this talk\, we use McMullen's polytope algebra to help explain this phenom
 enon.\n
LOCATION:https://researchseminars.org/talk/Matroids/27/
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