BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Sergi Elizalde (Dartmouth College) DTSTART:20261025T140000Z DTEND:20261025T150000Z DTSTAMP:20261023T115444Z UID:MAAGC2026/5 DESCRIPTION:Title: Cylindric growth diagrams\, walks in simplices\, and exclusion processes \nby Sergi Elizalde (Dartmouth College) as part of MAAGC 2026\n\nLectu re held in Temple 1169.\n\nAbstract\nWe establish bijections between three classes of combinatorial objects that have been studied in different cont exts: lattice walks in simplicial regions as introduced by Mortimer--Prell berg\, standard cylindric tableaux as introduced by Gessel--Krattenthaler and Postnikov\, and sequences of states in the totally asymmetric simple e xclusion process on a cycle. This perspective allows us to translate symme tries from one setting into another\, revealing unexpected properties of t hese objects.\nSpecifically\, we show that a recent bijection of Courtiel et al. between certain simplicial walks with forward and backward steps is equivalent to a cylindric analogue of the Robinson--Schensted corresponde nce. Originally defined by Neyman by iterating an insertion operation\, we provide an alternative description of this correspondence by introducing a cylindric version of Fomin's growth diagrams. This natural description e lucidates the symmetry of the correspondence\, and it allows us to interpr et the above walks as oscillating cylindric tableaux.\n LOCATION:https://researchseminars.org/talk/MAAGC2026/5/ END:VEVENT END:VCALENDAR