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SUMMARY:Leonid Rybnikov (National Research University Higher School of Eco
 nomics)
DTSTART:20230310T090000Z
DTEND:20230310T103000Z
DTSTAMP:20260423T024801Z
UID:BIMSA-ISS/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BIMSA-ISS/7/
 ">Bethe subalgebras and Kirillov-Reshetikhin crystals</a>\nby Leonid Rybni
 kov (National Research University Higher School of Economics) as part of B
 IMSA Integrable Systems Seminar\n\n\nAbstract\nBethe subalgebras form a fa
 mily of maximal commutative subalgebras of the Yangian of a simple Lie alg
 ebra\, parametrized by regular elements of the corresponding adjoint Lie g
 roup. We introduce an affine (Kirillov-Reshetikhin) crystal structure on t
 he set of eigenlines for a Bethe subalgebra in a representation of the Yan
 gian (under certain conditions on the representation\, satisfied by all te
 nsor products of Kirillov-Reshetikhin modules in type A). This helps to de
 scribe the monodromy of solutions of Bethe ansatz for the corresponding XX
 X Heisenberg magnet chain. \n\nThis is a joint project with Inna Mashanova
 -Golikova and Vasily Krylov.\n
LOCATION:https://researchseminars.org/talk/BIMSA-ISS/7/
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