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UID:2021042202124620210405T15000020210405T1550006080db9e0e53f@uic.edu
CATEGORIES:MEETING
STATUS:TENTATIVE
DTSTAMP:20210421T081802
DTSTART:20210405T150000
DTEND:20210405T155000
SUMMARY:Algebraic Geometry Seminar: Modular zeros in the character table of the symmetric group, by Sarah Peluse
DESCRIPTION:Sarah Peluse (Princeton University/IAS): Modular zeros in the character table of the symmetric group In 2017, Miller conjectured, based on computational evidence, that for any fixed prime $p$ the density of entries in the character table of $S_n$ that are divisible by $p$ goes to $1$ as $n$ goes to infinity. I’ll describe a proof of this conjecture, which is joint work with K. Soundararajan. I will also discuss the (still open) problem of determining the asymptotic density of zeros in the character table of $S_n$, where it is not even clear from computational data what one should expect. Please click here to make changes to, or delete, this seminar announcement.
LOCATION:Zoom Chicago IL
CLASS:PRIVATE
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