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SUMMARY:Deniz Yılmaz (Bilkent University)
DTSTART:20260305T124000Z
DTEND:20260305T133000Z
DTSTAMP:20260414T101121Z
UID:METU_Math/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/METU_Math/3/
 ">A Categorical Perspective on Representation Theory</a>\nby Deniz Yılmaz
  (Bilkent University) as part of METU Mathematics General Seminar\n\nLectu
 re held in Gündüz İkeda Seminar Room\, Mathematics Department.\n\nAbstr
 act\nGroups arise naturally in the study of symmetry\, and representation 
 theory studies\ngroups through linear algebra. In this talk\, we will intr
 oduce a categorical framework in\nwhich finite groups appear as objects an
 d the morphisms between them encode natural\noperations from representatio
 n theory. After introducing the classical theory of bisets and\nbiset func
 tors\, we will discuss two related refinements: diagonal $p$-permutation f
 unctors\,\nobtained from suitable bimodules\, and $p$-bifree biset functor
 s\, obtained by restricting to a\ndistinguished class of bisets. These con
 structions connect naturally with current questions\nin modular representa
 tion theory\, especially local-global conjectures.\n
LOCATION:https://researchseminars.org/talk/METU_Math/3/
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