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SUMMARY:Martin Rubey (TU Wien)
DTSTART:20200420T190000Z
DTEND:20200420T200000Z
DTSTAMP:20260404T094338Z
UID:AppliedAlgebraYork/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/Appli
 edAlgebraYork/1/">The existence of a cyclic sieving phenomenon for permuta
 tions via a bound on the number of border strip tableaux and invariant the
 ory</a>\nby Martin Rubey (TU Wien) as part of The applied algebra seminar\
 n\nLecture held in N638.\n\nAbstract\nWe consider permutations pi of {1\,.
 ..\,n} as chord diagrams\, where the elements label the vertices of a regu
 lar n-gon\, and there is a directed arc from i to pi(i) for each element i
 . We can "rotate" a permutation by rotating its chord diagram. As one of o
 ur main results we show that there must exist a map from permutations of {
 1\,...\,n} to integer partitions of n that has the same distribution as th
 e Robinson-Schensted shape\, but is invariant under rotation. The proof us
 es a little combinatorial representation and invariant theory\, and some c
 alculus. We are unable to exhibit the map explicitly.\n\njoint work with P
 er Alexandersson\, Stephan Pfannerer and Joakim Uhlin\n
LOCATION:https://stable.researchseminars.org/talk/AppliedAlgebraYork/1/
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