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SUMMARY:Monodromy and cactus group actions on crystals
DTSTART:20150616T141500
DTEND:20150616T150000
DTSTAMP:20260510T143314Z
UID:a1194355359f2811a2ae8fbb15054c4f7868f10c673f055f9a1b4455
CATEGORIES:Conferences - Seminars
DESCRIPTION:Iva Halacheva\, Toronto\nIn earlier work\, Henriques and Kamni
 tzer define a cactus group action on tensor products of crystals of any fi
 nite-dimensional complex reductive Lie algebra g. We generalize the notion
  of a cactus group and define its action on a single crystal via Schutzenb
 erger involutions. On the other hand\, Mishchenko and Fomenko construct a 
 family of maximal commutative subalgebras of U(g). In type A\, given any r
 epresentation we show there is a monodromy action coming from a cover of t
 he moduli space parametrizing the family of subalgebras\, which agrees wit
 h the cactus group action. We conjecture that this is also true in general
 .
LOCATION:MAA330 http://plan.epfl.ch/?lang=fr&room=MAA30
STATUS:CONFIRMED
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