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SUMMARY:Cihan Bahran (Bilkent University)
DTSTART:20260312T124000Z
DTEND:20260312T133000Z
DTSTAMP:20260414T102151Z
UID:METU_Math/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/METU_Math/4/
 ">Character Polynomials for Symmetric Groups and FI-modules</a>\nby Cihan 
 Bahran (Bilkent University) as part of METU Mathematics General Seminar\n\
 nLecture held in Gündüz İkeda Seminar Room\, Mathematics Department.\n\
 nAbstract\nFor every positive integer $r$\, the number of cycles of length
  $r$ in the cycle decomposition of a permutation is a class function $X_r$
  which is simultaneously defined on every symmetric group. A polynomial in
  terms of $X_r$'s is called a character polynomial\, describing a sequence
  of (virtual) $S_n$ representations for every $n$. In this talk I will dis
 cuss how such sequences arise in particular examples of interest and time 
 permitting explain how the theory of FI-modules provides a general framewo
 rk for their occurrence.\n
LOCATION:https://researchseminars.org/talk/METU_Math/4/
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