BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4//
BEGIN:VEVENT
UID:20250729T173004EDT-39955wjDM3@132.216.98.100
DTSTAMP:20250729T213004Z
DESCRIPTION:Title: Cactus flower curves\, integrable systems\, and crystals
 .\n\nAbstract: The moduli space of rational curves with n+1 marked points 
 and a tangent vector (called framing) at the last of them has a natural co
 mpactification F_n analogous to the Deligne-Mumford one for the space of n
 on-framed curves\, called moduli space of cactus flower curves.\n\nContrar
 y to the usual Deligne-Mumford compactification\, it is singular\n\n-- but
  still has many nice properties. I will explain how this space arises as t
 he parameter space for some remarkable family of quantum integrable system
 s (namely\, for Gaudin degenerations of the XXZ Heisenberg spin chain). On
  the other hand\, the fundamental group of the real locus of this moduli s
 pace\, called virtual cactus group\, controls coboundary monoidal categori
 es that are finitistic and concrete (i.e.\n\nendowed with a faithful monoi
 dal functor to finite sets). This describes the monodromy of solutions to 
 Bethe ansatz in the Gaudin integrable systems in terms of the commutor ope
 ration on tensor products Kashiwara crystals. This is a joint work (partia
 lly in progress) with Aleksei Ilin\, Joel Kamnitzer\, Yu Li\, and Piotr Pr
 zytycki.\n\nLocation: UQAM PK-5675\n
DTSTART:20241023T190000Z
DTEND:20241023T200000Z
SUMMARY:Leonid Rybnikov (Université de Montréal)
URL:/mathstat/channels/event/leonid-rybnikov-universit
 e-de-montreal-360592
END:VEVENT
END:VCALENDAR