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SUMMARY:McCabe Olsen (Rose-Hulman Institute of Technology)
DTSTART:20210503T190000Z
DTEND:20210503T200000Z
DTSTAMP:20260423T005702Z
UID:YUAAS/33
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/YUAAS/33/">U
 nconditional Reflexive Polytopes</a>\nby McCabe Olsen (Rose-Hulman Institu
 te of Technology) as part of York University Applied Algebra Seminar\n\n\n
 Abstract\nA convex body is unconditional if it is symmetric with respect t
 o reflections in all coordinate hyperplanes. We investigate unconditional 
 lattice polytopes with respect to geometric\, combinatorial\, and algebrai
 c properties. In particular\, we characterize unconditional reflexive poly
 topes in terms of perfect graphs. As a prime example\, we study the signed
  Birkhoff polytope. Moreover\, we derive constructions for Gale-dual pairs
  of polytopes and we explicitly describe Gröbner bases for unconditional 
 reflexive polytopes coming from partially ordered sets. This is joint work
  with Florian Kohl (Aalto University) and Raman Sanyal (Goethe Universitä
 t Frankfurt).\n
LOCATION:https://researchseminars.org/talk/YUAAS/33/
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