BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Jehanne Dousse (CNRS\, Lyon) DTSTART:20211104T140000Z DTEND:20211104T150000Z DTSTAMP:20260423T024720Z UID:UCDANT/17 DESCRIPTION:Title: Cylindric partitions\, q-difference equations and Rogers-Ramanujan type id entities\nby Jehanne Dousse (CNRS\, Lyon) as part of Dublin Algebra an d Number Theory Seminar\n\n\nAbstract\nCylindric partitions\, which were i ntroduced by Gessel and Krattenthaler in 1997\, can be seen as generalisat ions of integer partitions involving periodicity conditions. Since the 198 0s and the founding work of Lepowsky and Wilson on Rogers-Ramanujan identi ties\, several connections between characters of Lie algebras and partitio n identities have emerged. In particular\, Andrews\, Schilling and Warnaa r discovered in 1998 a family of partition identities related to character s of A_2. Recently\, Corteel and Welsh established a q-difference equatio n satisfied by generating functions for cylindric partitions and used it t o reprove the A_2 Rogers-Ramanujan identities of Andrews\, Schilling and W arnaar. We build on this technique to discover and prove a new family of A _2 Rogers-Ramanujan identities and give explicitly positive expressions fo r certain characters. \nThis is joint work with Sylvie Corteel and Ali Unc u.\n LOCATION:https://researchseminars.org/talk/UCDANT/17/ END:VEVENT END:VCALENDAR