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SUMMARY:Joseph Kung (University of North Texas)
DTSTART:20230418T190000Z
DTEND:20230418T200000Z
DTSTAMP:20260423T041342Z
UID:Matroids/50
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Matroids/50/
 ">Tutte polynomial evaluations which are exponential sums.</a>\nby Joseph 
 Kung (University of North Texas) as part of Matroids - Combinatorics\, Alg
 ebra and Geometry Seminar\n\nLecture held in Room 210 The Fields Institute
 .\n\nAbstract\nAn exponential sum is a sum $\\sum_{I=0}^{m-1} a_i \\omega^
 I$\, where $\\omega$ is a primitive $m$th root of unity.   We will show se
 veral examples of Tutte polynomial evaluations which are exponential sums.
   In particular\, for a matroid $G$ representable over a finite field of o
 rder $q$\,  then the evaluation $q^{r(M)} \\chi (G\;q)$\, where $\\chi$ is
  the characteristic polynomial\,  can be written as an exponential sum in 
 which the coefficients $a_i$ have an enumerative interpretation.\n
LOCATION:https://researchseminars.org/talk/Matroids/50/
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