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SUMMARY:Anna Lachowska (École Polytechnique Fédérale de Lausanne)
DTSTART:20250205T100000Z
DTEND:20250205T110000Z
DTSTAMP:20260423T021145Z
UID:EQuAL/35
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/EQuAL/35/">C
 ombinatorics of the center of the small quantum group</a>\nby Anna Lachows
 ka (École Polytechnique Fédérale de Lausanne) as part of European Quant
 um Algebra Lectures (EQuAL)\n\n\nAbstract\nThe small quantum group $u_q(g)
 $ associated to the Lie algebra $g$ and a root of unity $q$ was introduced
  by Lusztig in 1990 and plays an important role in quantum and modular rep
 resentation theory. Despite significant advances in the last two years\, t
 he dimension of the center of $u_q(g)$ is unknown in general. I will descr
 ibe  the combinatorial aspects of the problem\, in particular the relation
  between the center of $u_q(g)$ and the space of the diagonal coinvariants
 \, the Harish-Chandra center and the Higman ideal.\nThis is a joint work w
 ith Qi You\, Nicolas Hemelsoet and Oscar Kivinen.\n
LOCATION:https://researchseminars.org/talk/EQuAL/35/
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