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SUMMARY:Martin Rubey (TU Wien)
DTSTART:20200420T190000Z
DTEND:20200420T200000Z
DTSTAMP:20260422T225758Z
UID:AppliedAlgebraYork/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AppliedAlgeb
 raYork/1/">The existence of a cyclic sieving phenomenon for permutations v
 ia a bound on the number of border strip tableaux and invariant theory</a>
 \nby Martin Rubey (TU Wien) as part of The applied algebra seminar\n\nLect
 ure held in N638.\n\nAbstract\nWe consider permutations pi of {1\,...\,n} 
 as chord diagrams\, where the elements label the vertices of a regular n-g
 on\, and there is a directed arc from i to pi(i) for each element i. We ca
 n "rotate" a permutation by rotating its chord diagram. As one of our 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 the Robin
 son-Schensted shape\, but is invariant under rotation. The proof uses a li
 ttle combinatorial representation and invariant theory\, and some calculus
 . We are unable to exhibit the map explicitly.\n\njoint work with Per Alex
 andersson\, Stephan Pfannerer and Joakim Uhlin\n
LOCATION:https://researchseminars.org/talk/AppliedAlgebraYork/1/
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