Seminar

Modular zeros in the character table of the symmetric group

Number Theory

10 March 18:15 - 19:15

Sarah Peluse - Princeton University

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.

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Meeting ID: 921 756 1880

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Meeting ID: 921 756 188

Organizers
Pär Kurlberg
KTH Royal Institute of Technology
Lilian Matthiesen
KTH Royal Institute of Technology
Damaris Schindler
Universität Göttingen

Program
Contact

Pär Kurlberg

kurlberg@math.kth.se

Lilian Matthiesen

lilian.matthiesen@math.kth.se

Other
information

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