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SUMMARY:Qi Wang (Osaka University)
DTSTART:20201117T073000Z
DTEND:20201117T083000Z
DTSTAMP:20260423T021256Z
UID:OISTRTS/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OISTRTS/6/">
 On $\\tau$-tilting finiteness of Schur algebras</a>\nby Qi Wang (Osaka Uni
 versity) as part of OIST representation theory seminar\n\n\nAbstract\nSupp
 ort $\\tau$-tilting modules are introduced by Adachi\, Iyama and Reiten in
  2012 as a generalization of classical tilting modules. One of the importa
 nce of these modules is that they are bijectively corresponding to many ot
 her objects\, such as two-term silting complexes and left finite semibrick
 s. Let $V$ be an $n$-dimensional vector space over an algebraically closed
  field $\\mathbb{F}$ of characteristic $p$. Then\, the Schur algebra $S(n\
 ,r)$ is defined as the endomorphism ring $\\mathsf{End}_{\\mathbb{F}G_r}\\
 left ( V^{\\otimes r} \\right )$ over the group algebra  $\\mathbb{F}G_r$ 
 of the symmetric group $G_r$. In this talk\, we discuss when the Schur alg
 ebra $S(n\,r)$ has only finitely many pairwise non-isomorphic basic suppor
 t $\\tau$-tilting modules.\n
LOCATION:https://researchseminars.org/talk/OISTRTS/6/
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