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SUMMARY:Rob Muth (Duquesne University)
DTSTART:20220705T073000Z
DTEND:20220705T083000Z
DTSTAMP:20260423T021220Z
UID:OISTRTS/34
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OISTRTS/34/"
 >Superalgebra deformations of web categories</a>\nby Rob Muth (Duquesne Un
 iversity) as part of OIST representation theory seminar\n\n\nAbstract\nFor
  a superalgebra A\, and even subalgebra a\, one may define an associated d
 iagrammatic monoidal supercategory Web(A\,a)\, which generalizes a number 
 of symmetric web category constructions. In this talk\, I will define and 
 discuss Web(A\,a)\, focusing on two interesting applications: Firstly\, We
 b(A\,a) is equipped with an asymptotically faithful functor to the categor
 y of gl_n(A)-modules generated by symmetric powers of the natural module\,
  and may be used to establish Howe dualities between gl_n(A) and gl_m(A) i
 n some cases. Secondly\, Web(A\,a) yields a diagrammatic presentation for 
 the ‘Schurification' T^A_a(n\,d). For various choices of A/a\, these Sch
 urifications have proven connections to RoCK blocks of Hecke algebras\, an
 d conjectural connections to RoCK blocks of Schur algebras and Sergeev sup
 eralgebras. This is joint work with Nicholas Davidson\, Jonathan Kujawa\, 
 and Jieru Zhu.\n
LOCATION:https://researchseminars.org/talk/OISTRTS/34/
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