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CALSCALE:GREGORIAN
X-WR-CALNAME:Richard P. Stanley Seminar in Combinatorics:  Melissa Sherman-
 Bennett (MIT)
X-WR-TIMEZONE:Eastern Time (US & Canada)
BEGIN:VEVENT
DTSTAMP:20260608T194730Z
UID:tag:localist.com\,2008:EventInstance_45643289280166
DTSTART:20240221T203000Z
DTEND:20240221T213000Z
DESCRIPTION:Speaker:       Melissa Sherman-Bennett (MIT)\n\nTitle:         
     A subdivision of the permutahedron for every Coxeter element          
 \n\nAbstract:    \n\nI will discuss some regular subdivisions of the permu
 tahedron in R^n\, one for each Coxeter element in the symmetric group S_n.
  These subdivisions are "Bruhat interval" subdivisions\, meaning that each
  face is the convex hull of the permutations in a Bruhat interval (regarde
 d as vectors in R^n). Bruhat interval subdivisions in general correspond t
 o cones in the positive tropical flag variety by a combination of results 
 of Joswig-Loho-Luber-Olarte and Boretsky\; the subdivisions indexed by Cox
 eter elements are finest subdivisions and so correspond to a subset of the
  maximal cones. For a particular choice of Coxeter element\, we recover a 
 cubical subdivision of the permutahedron due to Harada-Horiguchi-Masuda-Pa
 rk. Applications of these subdivisions include new formulas for the class 
 of the permutahedral variety as a sum of Richardson classes in the cohomol
 ogy ring of the flag variety. This is joint work-in-progress with Mario Sa
 nchez.
GEO:42.380781;-71.116399
LOCATION:Harvard Science Center\, 232
SUMMARY:Richard P. Stanley Seminar in Combinatorics:  Melissa Sherman-Benne
 tt (MIT)
URL;VALUE=URI:https://calendar.mit.edu/event/richard_p_stanley_seminar_in_c
 ombinatorics_4575
CATEGORIES:Conferences/Seminars/Lectures
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