BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Matteo Mucciconi (Tokyo Institute of Technology) DTSTART:20210208T200000Z DTEND:20210208T210000Z DTSTAMP:20260423T024621Z UID:YUAAS/22 DESCRIPTION:Title: S ymmetric polynomials in Integrable Probability\nby Matteo Mucciconi (T okyo Institute of Technology) as part of York University Applied Algebra S eminar\n\n\nAbstract\n"A number of solvable stochastic processes can be de scribed in terms of notable families of symmetric functions. Classical mod els as the last passage percolation (LPP) or the totally asymmetric simple exclusion process (TASEP) sample measures built on Schur polynomials. Ana logously\, Whittaker functions are related to solvable models of random po lymers as the O’Connell-Yor Polymer (OYP). \n\nIn 2015 Corwin and Petrov introduced the higher spin vertex model\, a family of stochastic processe s sitting on top of a hierarchy of models including TASEP\, LPP\, OYP and of many other interesting systems including random walkers in random envir onment. \n\nWe find that the higher spin vertex model and all of its degen erations can be solved using a unifying family of symmetric functions\, th e spin q-Whittaker (sqW) polynomials\, a version of which was defined firs t by Borodin and Wheeler in 2017. Probabilistic intepretation of sqW allow s us to establish a number of interesting combinatorial properties along w ith surprising conjectural relations. Studying scaling limits of sqW we re cover classical objects as Schur and Grothendieck polynomials along with n ew families of symmetric functions.\n\nBased on a joint work with Leonid P etrov."\n LOCATION:https://researchseminars.org/talk/YUAAS/22/ END:VEVENT END:VCALENDAR