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DTSTART:20260308T070000
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DTSTART;TZID=America/Toronto:20260702T143000
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URL:https://uwaterloo.ca/combinatorics-and-optimization/events/algebraic-an
 d-enumerative-combinatorics-seminar-jeronimo-1
SUMMARY:Algebraic and Enumerative combinatorics seminar -Jerónimo\nValenci
 a-Porras-Type C multiline queues and the open-boundary TASEP
CLASS:PUBLIC
DESCRIPTION:SPEAKER:\n Jerónimo Valencia-Porras\n\nAFFILIATION:\n Universi
 ty of Waterloo\n\nLOCATION:\n MC 6460\n\nABSTRACT: The totally asymmetric
  simple exclusion process (TASEP) is\na finite Markov chain of particles h
 opping between adjacent sites on a\none-dimensional lattice. The multispec
 ies TASEP is a generalization in\nwhich particles have different types. Th
 ese processes have interesting\nconnections to algebraic combinatorics: th
 e stationary distribution of\nthe TASEP on a circle is connected to Macdon
 ald polynomials at t=0\,\nwhereas the stationary distribution of the open-
 boundary TASEP is\nconnected to Koorwinder polynomials at t=0.\n\nMultilin
 e queues were introduced by Ferrari and Martin (2007) to\ncompute the stat
 ionary distribution of the multispecies TASEP on a\ncircle. It has been a 
 long-standing open problem to find a\ncombinatorial formula for the statio
 nary distribution of the\nmultispecies TASEP with open boundaries. Recentl
 y\, we studied the\ncombinatorics of Ferrari–Martin multiline queues usi
 ng type A\ncrystals. In this talk\, we use crystals of type C to construct
  an\nanalog of multiline queues and give a combinatorial formula for the\n
 stationary distribution of the multispecies open-boundary TASEP for a\ncer
 tain specialization of the boundary parameters. This is joint work\nwith O
 lya Mandelshtam.\n\nTHERE WILL BE A PRE-SEMINAR PRESENTING RELEVANT BACKGR
 OUND AT\nBEGINNING GRADUATE LEVEL STARTING AT 1:30PM IN MC 5417.
DTSTAMP:20260624T185240Z
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