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SUMMARY:Sarah Peluse (University of Michigan)
DTSTART:20231114T200000Z
DTEND:20231114T210000Z
DTSTAMP:20260419T151326Z
UID:BC-MIT/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BC-MIT/5/">D
 ivisibility of character values of the symmetric group</a>\nby Sarah Pelus
 e (University of Michigan) as part of BC-MIT number theory seminar\n\nLect
 ure held in MIT room 4-163.\n\nAbstract\nIn 2017\, Miller computed the cha
 racter tables of $S_n$ for all $n$ up to $38$ and looked at various statis
 tical properties of the entries. Characters of symmetric groups take only 
 integer values\, and\, based on his computations\, Miller conjectured that
  almost all entries of the character table of $S_n$ are divisible by any f
 ixed prime power as $n$ tends to infinity. In this talk\, I will discuss j
 oint work with K. Soundararajan that resolves this conjecture\, and mentio
 n some related open problems.\n
LOCATION:https://researchseminars.org/talk/BC-MIT/5/
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