BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Arvind Ayyer (Indian Institute of Science\, Bangalore) DTSTART:20220311T083000Z DTEND:20220311T093000Z DTSTAMP:20260423T024519Z UID:ARCSIN/18 DESCRIPTION:Title: A multispecies totally asymmetric zero range process and Macdonald polynom ials\nby Arvind Ayyer (Indian Institute of Science\, Bangalore) as par t of ARCSIN - Algebra\, Representations\, Combinatorics and Symmetric func tions in INdia\n\nLecture held in Alladi Ramakrishnan Hall\, IMSc\, Chenna i.\n\nAbstract\nMacdonald polynomials are a remarkable family of symmetric functions that\nare known to have connections to combinatorics\, algebrai c geometry and\nrepresentation theory. Due to work of Corteel\, Mandelshta m and Williams\, it\nis known that they are related to the asymmetric simp le exclusion process\n(ASEP) on a ring.\n\nThe modified Macdonald polynomi als are obtained from the Macdonald\npolynomials using an operation called plethysm. It is natural to ask whether\nthe modified Macdonald polynomial s are related to some other particle\nsystem. In this talk\, we answer thi s question in the affirmative via a\nmultispecies totally asymmetric zero- range process (TAZRP). We also present\na Markov process on tableaux that projects to the TAZRP and derive formulas\nfor stationary probabilities an d certain correlations. This is joint work\nwith Olya Mandelshtam and Jame s Martin.\n\nThis will be a hybrid event. Note that the usual Zoom link fo r the seminar is not valid.\n LOCATION:https://researchseminars.org/talk/ARCSIN/18/ END:VEVENT END:VCALENDAR