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SUMMARY:Conjectural Enumerations of Trimer Covers of Finite Subgraphs of t
he Triangular Lattice (Remote)
DTSTART;VALUE=DATE-TIME:20211130T155000Z
DTEND;VALUE=DATE-TIME:20211130T164000Z
DTSTAMP;VALUE=DATE-TIME:20220810T073747Z
UID:indico-contribution-6010@indico.math.cnrs.fr
DESCRIPTION:Speakers: James Propp (Umass Lowell)\nThe work of Conway and L
agarias applying combinatorial group theory to packing problems suggests w
hat we might mean by “domain-wall boundary conditions” for the trimer
model on the infinite triangular lattice in which the permitted trimers ar
e triangle trimers and three-in-a-line trimers. Looking at subregions of t
he lattice with those sorts of boundaries\, we find intriguing numerology
governing the number of trimer covers. This wealth of conjecture is in sta
rk contrast with the paucity of mathematical tools that permit exact enume
ration of trimer covers as compared to dimer covers.\n\nhttps://indico.mat
h.cnrs.fr/event/7040/contributions/6010/
LOCATION:Le Bois-Marie Centre de conférences Marilyn et James Simons
URL:https://indico.math.cnrs.fr/event/7040/contributions/6010/
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