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Sarah Peluse: Modular zeros in the character table of the symmetric group

Time: Wed 2021-03-10 18.15 - 19.15

Location: Zoom, meeting ID: 921 756 1880

Participating: Sarah Peluse, Princeton University

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Abstract

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.