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SUMMARY:Mariel Supina (KTH Royal Institute of Technology)
DTSTART:20221103T190000Z
DTEND:20221103T200000Z
DTSTAMP:20260423T024656Z
UID:Matroids/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Matroids/10/
 ">The universal valuation of Coxeter matroids</a>\nby Mariel Supina (KTH R
 oyal Institute of Technology) as part of Matroids - Combinatorics\, Algebr
 a and Geometry Seminar\n\nLecture held in Room 210 The Fields Institute.\n
 \nAbstract\nMatroids subdivisions have rich connections to geometry\, and 
 thus we are often interested in functions on matroids that behave nicely w
 ith respect to subdivisions\, or "valuations". Matroids are naturally link
 ed to the symmetric group\; generalizing to other finite reflection groups
  gives rise to Coxeter matroids. I will give an overview of these ideas an
 d then present some work with Chris Eur and Mario Sanchez on constructing 
 the universal valuative invariant of Coxeter matroids. Since matroids and 
 their Coxeter analogues can be understood as families of polytopes with sp
 ecial combinatorial properties\, I will present these results from a polyt
 opal perspective.\n
LOCATION:https://researchseminars.org/talk/Matroids/10/
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