BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Hugo Mlodecki (Université Paris-Saclay)
DTSTART:20210322T190000Z
DTEND:20210322T200000Z
DTSTAMP:20260423T024621Z
UID:YUAAS/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/YUAAS/27/">A
  bidendriform automorphism of WQSym</a>\nby Hugo Mlodecki (Université Par
 is-Saclay) as part of York University Applied Algebra Seminar\n\n\nAbstrac
 t\nBy Foissy's work\, the bidendriform structure of the Word Quasisymmetri
 c Functions Hopf algebra (WQSym) implies that it is isomorphic to its dual
 . In this talk\, we present the construction of an explicit combinatorial 
 bidendriform isomorphism. We represent two recursive decompositions of pac
 ked words by two new combinatorial families called red and blue biplan for
 ests. We then obtain two bases of WQSym and its dual. The advantage of the
 se bases is that by taking explicit subsets\, we obtain bases of primitive
  elements and totally primitive elements. We then carefully combine red an
 d blue forests to get bicolors forests. A simple re-coloring of the edges 
 allows us to obtain the first explicit bidendriform automorphism of WQSym.
 \n
LOCATION:https://researchseminars.org/talk/YUAAS/27/
END:VEVENT
END:VCALENDAR