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SUMMARY:Hiraku Nakajima (Kavli IPMU\, Tokyo\, Japan)
DTSTART:20200702T120000Z
DTEND:20200702T130000Z
DTSTAMP:20260423T005805Z
UID:LAGOON/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGOON/7/">E
 uler numbers of Hilbert schemes of points on simple surface singularities 
 and quantum dimensions of standard modules of quantum affine algebras</a>\
 nby Hiraku Nakajima (Kavli IPMU\, Tokyo\, Japan) as part of Longitudinal A
 lgebra and Geometry Open ONline Seminar (LAGOON)\n\n\nAbstract\nBalazs exp
 lained his conjecture with Gyenge and Nemethi on\nEuler numbers of Hilbert
  schemes on June 4. I proved it by showing that\nquantum dimensions of sta
 ndard modules of quantum affine algebras are\nalways 1. This remarkable pr
 operty is the simplest case of a conjecture\non quantum dimensions of Kiri
 llov-Reshetikhin modules proposed by Kuniba\nin 93\, which is still open f
 or E7\,8 in general. In this talk\, I will\nemphasize on representation th
 eoretic aspects to minimize overlaps with\nBalazs' talk.\n
LOCATION:https://researchseminars.org/talk/LAGOON/7/
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