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PRODID:https://evenements.uqam.ca
X-PUBLISHED-TTL:P1W
BEGIN:VEVENT
UID:22958@https://evenements.uqam.ca
DTSTART:20221125T120000Z
SEQUENCE:30
TRANSP:OPAQUE
DTEND:20221125T120000Z
URL:https://evenements.uqam.ca/evenements/seminaire-du-lacim-the-higher-sta
sheff-tamari-orders-on-triangulations-of-cyclic-polytopes/22958?date=2022-
11-25_11-00-00
LOCATION:UQAM - Pavillon Président-Kennedy (PK) (201\, avenue du Présiden
t-Kennedy\, Montréal )
SUMMARY:Séminaire du LaCIM: «The higher Stasheff-Tamari orders on triangu
lations of cyclic polytopes»
CLASS:PUBLIC
DESCRIPTION:Conférencier: Nick Williams\,Lancaster University\n\n\nAbstra
ct:Cyclic polytopes are a very special family of polytopes possessing some
beautiful properties. In particular\, the set of triangulations of a cycl
ic polytope has a rich combinatorial structure which appears in several ot
her areas of mathematics. This set of triangulations possesses two natural
partial orders\, which can be seen as generalisations of the Tamari latti
ce. These are known as the first and second higher Stasheff--Tamari orders
\, the first of which was introduced by Kapranov and Voevodsky\, and the s
econd introduced by Edelman and Reiner. Edelman and Reiner conjectured the
se two orders to coincide. In this talk we outline our proof of this conje
cture. This result also has ramifications for the representation theory of
certain finite-dimensional algebras\, which we will touch on if time perm
its. \n\n\n \n\nMot-clés : Mathématiques\, Combinatoire\n\n
CATEGORIES:Séminaire
DTSTAMP:20241010T223649Z
CREATED:20221122T162617Z
LAST-MODIFIED:20231116T181201Z
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