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SUMMARY:Sarah Peluse (Princeton/IAS)
DTSTART:20210310T171500Z
DTEND:20210310T181500Z
DTSTAMP:20260423T024026Z
UID:IML_NT/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IML_NT/10/">
 Modular zeros in the character table of the symmetric group</a>\nby Sarah 
 Peluse (Princeton/IAS) as part of IML Number Theory semester (spring 2021)
 \n\n\nAbstract\nIn 2017\, Miller conjectured\, based on computational evid
 ence\, that for\nany fixed prime $p$ the density of entries in the charact
 er table of $S_n$ that\nare divisible by $p$ goes to $1$ as $n$ goes to in
 finity. I’ll describe a proof of\nthis conjecture\, which is joint work 
 with K. Soundararajan. I will also discuss the\n(still open) problem of de
 termining the asymptotic density of zeros in the\ncharacter table of $S_n$
 \, where it is not even clear from computational data\nwhat one should exp
 ect.\n
LOCATION:https://researchseminars.org/talk/IML_NT/10/
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