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SUMMARY:Cyril Banderier
DTSTART:20240517T130000Z
DTEND:20240517T140000Z
DTSTAMP:20260423T004642Z
UID:ACPMS/41
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ACPMS/41/">F
 rom geometry to generating functions: rectangulations and permutations</a>
 \nby Cyril Banderier as part of Algebraic and Combinatorial Perspectives i
 n the Mathematical Sciences\n\n\nAbstract\nA rectangulation of size n is a
  tiling of a rectangle by n rectangles such that no four rectangles meet i
 n a point. In the literature\, rectangulations are also called floorplans 
 or rectangular dissections. In this talk\, we will analyse several classes
  of pattern-avoiding rectangulations which lead to surprisingly nice enume
 rative results and new bijective links with pattern-avoiding permutations.
  We prove that their generating functions are algebraic\, and confirm seve
 ral conjectures by Merino and Mütze.  We also analyse a new class of rect
 angulations\, called whirls: they are related to Catalan numbers\, but no 
 simple proof of it is known! We prove this fact using a generating tree. T
 his leads to an intricate functional equation\, for which the method of re
 solution has its own interest.\n
LOCATION:https://researchseminars.org/talk/ACPMS/41/
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