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SUMMARY:Pavel Turek (Royal Holloway)
DTSTART:20250211T140000Z
DTEND:20250211T150000Z
DTSTAMP:20260421T154046Z
UID:UEAPS/46
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UEAPS/46/">M
 ultiplicity-free induced characters of symmetric groups</a>\nby Pavel Ture
 k (Royal Holloway) as part of ANTLR seminar\n\nLecture held in EFRY 01.05.
 \n\nAbstract\nLet $n$ be a sufficiently large positive integer. A characte
 r is multiplicity-free if its irreducible constituents appear with multipl
 icity one. Wildon in 2009 and independently Godsil and Meagher in 2010 hav
 e found all multiplicity-free permutation characters of the symmetric grou
 p $S_n$. In this talk\, we focus on a significantly more general problem w
 hen the permutation characters are replaced by induced characters of the f
 orm $\\rho\\!\\uparrow^{S_n}$ with $\\rho$ irreducible. \n\n    
         \nDespite the nature of the problem\, I explain\, 
 combining results from group theory\, representation theory and combinator
 ics\, why this problem may be feasible and present a close to full answer.
  I also mention some of my (often surprising) results to questions about c
 onjugate partitions\, which naturally arise when solving the problem\, and
  the remarkable complete classification of subgroups $G$ of $S_n$\, which 
 have an irreducible character which stays multiplicity-free when induced t
 o $S_n$.\n
LOCATION:https://researchseminars.org/talk/UEAPS/46/
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