BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Olya Mandelshtam (Brown University) DTSTART:20210125T200000Z DTEND:20210125T210000Z DTSTAMP:20260423T005659Z UID:YUAAS/20 DESCRIPTION:Title: T he multispecies TAZRP and modified Macdonald polynomials\nby Olya Mand elshtam (Brown University) as part of York University Applied Algebra Semi nar\n\n\nAbstract\nRecently\, a formula for the symmetric Macdonald polyno mials $P_{\\lambda}(X\;q\,t)$ was given in terms of objects called multili ne queues\, which also compute probabilities of a statistical mechanics mo del called the multispecies asymmetric simple exclusion process (ASEP) on a ring. It is natural to ask whether the modified Macdonald polynomials $\ \widetilde{H}_{\\lambda}(X\;q\,t)$ can be obtained using a combinatorial g adget for some other statistical mechanics model. We answer this question in the affirmative. In this talk\, we will give a new formula for $\\widet ilde{H}_{\\lambda}(X\;q\,t)$ in terms of fillings of tableaux called polyq ueue tableaux. We define a multispecies totally asymmetric zero range proc ess (TAZRP) on a ring with parameter $t$\, whose (unnormalized) stationary probabilities are computed by polyqueue tableaux\, and whose partition fu nction is equal to $\\widetilde{H}_{\\lambda}(X\;1\,t)$. This talk is base d on joint work with Arvind Ayyer and James Martin.\n LOCATION:https://researchseminars.org/talk/YUAAS/20/ END:VEVENT END:VCALENDAR