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DTSTART:20250309T070000
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DTSTART;TZID=America/Toronto:20251002T143000
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URL:https://uwaterloo.ca/combinatorics-and-optimization/events/algebraic-an
 d-enumerative-combinatorics-seminar-nathan
SUMMARY:Algebraic and enumerative combinatorics seminar-Nathan Pagliaroli
CLASS:PUBLIC
DESCRIPTION:TITLE:Enumerating planar stuffed maps as hypertrees of mobiles\
 n\nSpeaker\n Nathan Pagliaroli\n\nAffiliation\n University of Waterloo\n\n
 Location\n MC 6029\n\nABSTRACT: A planar stuffed map is an embedding of a
  graph into the\n2-sphere\, considered up to orientation-preserving homeom
 orphisms\, such\nthat the complement of the graph is a collection of disj
 oint\ntopologically connected components that are each homeomorphic to th
 e\n2-sphere with multiple boundaries. This is a generalization of planar\
 nmaps whose complement of the graph is a collection of disjoint\ntopologi
 cally connected components that are each homeomorphic to a\ndisc. In this
  talk I will outline my work in constructing a\nbisection between biparti
 te planar stuffed maps and collections of\ninteger-labelled trees connect
 ed by hyperedges such that they form a\nhypertree. This bijection directl
 y generalizes the Bouttier-Di\nFranceso-Guitter bijection between biparti
 te planar maps and mobiles.\nAdditionally\, we show that the generating f
 unctions of these trees of\nmobiles satisfy both an algebraic equation\, 
 generalizing the case of\nordinary planar maps\, and a new functional equ
 ation. As an example\,\nwe explicitly enumerate a class of stuffed quadra
 ngulations.\n\nTHERE WILL BE A PRE-SEMINAR PRESENTING RELEVANT BACKGROUND 
 AT THE\nBEGINNING GRADUATE LEVEL STARTING AT 1:30PM.
DTSTAMP:20260402T152821Z
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