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SUMMARY:Niklas Affolter (Institute of Discrete Mathematics and Geometry\, 
 TU Wien\, Vienna\, Austria)
DTSTART:20240423T140000Z
DTEND:20240423T150000Z
DTSTAMP:20260710T081401Z
UID:SeedSeminar/44
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SeedSeminar/
 44/">Discrete Integrability\, Dimers and Geometry</a>\nby Niklas Affolter 
 (Institute of Discrete Mathematics and Geometry\, TU Wien\, Vienna\, Austr
 ia) as part of Seed Seminar of Mathematics and Physics\n\n\nAbstract\nWe'l
 l begin by explaining "discrete integrability" in the sense of multi-dimen
 sional consistency. Discrete integrability is quite literally about the po
 ssibility to "integrate" discrete equations or discrete dynamics. The dime
 r model is about sampling perfect matchings on a graph\, where the probabi
 lity of each perfect matching is proportional to a product of edge-weights
 . We will see that the dimer model is discretely integrable. Finally\, we 
 consider discrete geometric maps\, to which we attach a dimer model. The m
 aps also turn out to be discretely integrable\, and the dimer partition fu
 nctions provide the invariants of (discrete) motions. Based on joint work 
 with Béatrice de Tilière\, Max Glick\, Paul Melotti\, Pasha Pylyavskyy a
 nd Sanjay Ramassamy.\n
LOCATION:https://researchseminars.org/talk/SeedSeminar/44/
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