In 2017, Miller computed the character tables of Sn for all n up to 38 and looked at various statistical 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 Sn are divisible by any fixed prime power as n tends to infinity. In this talk, I will discuss joint work with K. Soundararajan that resolves this conjecture, and mention some related open problems.
This video is part of the Number Theory Web Seminar series.
