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SUMMARY:Daria Poliakova (University of Southern Denmark)
DTSTART;VALUE=DATE-TIME:20221208T151500Z
DTEND;VALUE=DATE-TIME:20221208T170000Z
DTSTAMP;VALUE=DATE-TIME:20230208T070809Z
UID:CJCS/94
DESCRIPTION:Title: 2-
Associahedra and the velocity fan\nby Daria Poliakova (University of S
outhern Denmark) as part of Copenhagen-Jerusalem Combinatorics Seminar\n\n
Lecture held in Aud. 9 HCØ (KU).\n\nAbstract\nAssociahedra are polytopes
that encode homotopy associativity and allow for the definition of A-infin
ity categories. There are numerous polytopal realizations of associahedra\
, my favourite being due to Loday.\n\nNate Bottman introduced a family of
abstract polytopes called 2-associahedra\, that should stand behind the th
eory of (A-infinity\,2)-categories. While an associahedron K(n) compactif
ies the moduli space of configurations of n points on a line\, a 2-associ
ahedron K(n_1\, ... \, n_k) compactifies the moduli space of configuration
s of k lines\, with n_i points on the line number i. The combinatorics of
this object is rather intricate\, and the question of finding a polytopal
realization is difficult.\n\nIn my talk\, I will define 2-associahedra and
tell about our recent construction of complete fans realizing these abstr
act polytopes. We are currently working to prove that these fans are proje
ctive. Some cases are settled\, so there will be 3D pictures.\n
LOCATION:https://researchseminars.org/talk/CJCS/94/
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