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SUMMARY:Chris Eur (Harvard University)
DTSTART:20230202T200000Z
DTEND:20230202T210000Z
DTSTAMP:20260423T041031Z
UID:Matroids/33
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Matroids/33/
 ">Signed permutohedra and delta matroids</a>\nby Chris Eur (Harvard Univer
 sity) as part of Matroids - Combinatorics\, Algebra and Geometry Seminar\n
 \nLecture held in Room 210 The Fields Institute.\n\nAbstract\nDelta-matroi
 ds are type B generalizations of matroids in the theory of Coxeter matroid
 s. We generalize many recent developments in the algebraic geometry of mat
 roids to that of delta-matroids. These include the theory of tautological 
 classes of delta-matroids\, and formulas for volumes of type B generalized
  permutohedra. In particular\, for a class of delta-matroids that includes
  all graphical delta-matroids\, we show a log-concavity for "Tutte polynom
 ials" of delta-matroids. Time permitting\, we'll indicate some future dire
 ctions in the pursuit of a "Hodge theory" for Coxeter matroids.\n
LOCATION:https://researchseminars.org/talk/Matroids/33/
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