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DTSTART:20191103T020000
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RDATE:20201101T020000
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UID:calendar.24354.field_event_date_2.0@math.wustl.edu
CREATED:20200522T144543Z
DESCRIPTION:Abstract: The Ehrhart polynomial counts lattice points in a dil
ated lattice polytope. The Ehrhart polynomials of permutahedra of types A\
, B\, C\, and D have been calculated by Federico Ardila\, Federico Castill
o\, and Michael Henley (2015). However\, when a type B permutahedron is sh
ifted so that its center is the origin\, it becomes a half-integral polyto
pe\, and its Ehrhart quasipolynomial was previously unknown. The same is t
rue of odd-dimension type A permutahedra. We use signed graphs that arise
from the generating vectors of each permutahedron to determine which sets
of vectors are linearly independent and thus which form parallelepipeds th
at are a part of a zonotopal decomposition\, as well as which of these par
allelepipeds stays on the lattice when the permutahedron is shifted. This
yields new approaches/formulas for Ehrhart quasipolynomials for these rati
onal permutahedra.\n\n \n\nHost: Laura Escobar
DTSTART;TZID=America/Chicago:20200527T150000
DTEND;TZID=America/Chicago:20200527T160000
LAST-MODIFIED:20200527T014249Z
SUMMARY:Combinatorics Seminar: Ehrhart Quasipolynomials of Coxeter Permutah
edra
URL;TYPE=URI:https://math.wustl.edu/events/combinatorics-seminar-ehrhart-qu
asipolynomials-coxeter-permutahedra
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