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SUMMARY:Sophia Elia (Free University of Berlin)
DTSTART:20201102T200000Z
DTEND:20201102T210000Z
DTSTAMP:20260423T024547Z
UID:YUAAS/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/YUAAS/12/">C
 ongruence Normality for Simplicial Hyperplane Arrangements</a>\nby Sophia 
 Elia (Free University of Berlin) as part of York University Applied Algebr
 a Seminar\n\n\nAbstract\nSimplicial hyperplane arrangements still have muc
 h to reveal. In rank 3\, it is not known whether the list of simplicial hy
 perplane arrangements is complete. We determine whether the associated pos
 ets of regions possess the combinatorial property of "congruence normality
 " for arrangements with up to 37 hyperplanes. We use methods from oriented
  matroids\, which make the computations possible. This refines the structu
 re of the list\, breaking it into three separate combinatorial categories.
  In particular\, we show that arrangements stemming from finite Weyl group
 oids have congruence normal posets of regions. This is joint work with Jea
 n-Philippe Labbé and Michael Cuntz.\n
LOCATION:https://researchseminars.org/talk/YUAAS/12/
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