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DTSTART:20240310T070000
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DTSTART:20241103T060000
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DTSTART;TZID=America/Toronto:20250116T140000
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URL:https://uwaterloo.ca/combinatorics-and-optimization/events/algebraic-an
 d-enumerative-combinatorics-seminar-leigh-foster
SUMMARY:Algebraic and enumerative combinatorics seminar-Leigh Foster
CLASS:PUBLIC
DESCRIPTION:TITLE:The squish map and the SL_2 double dimer model\n\nSpeaker
 \n Leigh Foster\n\nAffiliation\n University of Waterloo\n\nLocation\n MC 5
 479\n\n ABSTRACT: A plane partition\, whose 3D Young diagram is made of u
 nit\ncubes\, can be approximated by a \"coarser” plane partition\, made 
 of\ncubes of side length 2. Two such approximations can be obtained by\n\"
 rounding up” or \"rounding down” to the nearest cube. We relate\nthis 
 coarsening (or downsampling) operation to Young's squish map\,\nintroduced
  in earlier work. We exhibit a related measure-preserving\nmap between the
  2-periodic single dimer model on the honeycomb graph\,\nand a particular 
 instance of Kenyon's SL_2 double dimer model on a\ncoarser honeycomb graph
 . This allows us to apply existing computations\nfrom the 2-periodic singl
 e dimer partition function to a portion of\nthe parameter space of the the
  harder double dimer model. We also\nspecialize our map and exhibit new cr
 iterion for the signed-tilability\nof a closed region on the honeycomb gra
 ph.\n\nTHERE WILL BE A PRE-SEMINAR PRESENTING RELEVANT BACKGROUND AT THE\n
 BEGINNING GRADUATE LEVEL STARTING AT 1PM\,
DTSTAMP:20260403T082942Z
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