[OTTER] October OTTER Talk

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OTTER Math Talks

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Oct 13, 2026, 10:51:21 PMOct 13
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We’re excited for our first OTTER talk of the academic year! It will be on Zoom this Friday the 16th at 10am central time (15:00 UTC). We are very lucky to have John McCarthy (WUSTL) speaking.

Title: The Lei-Zhang Entropy Theorem and the Krzyż conjecture.

Abstract: Recently, Jialin Lei and Tang Zhang proved that the entropy of a non-constant polynomial with all roots on the unit circle is maximized if the zeroes are equally spaced. Their result has an application to the Krzyż conjecture, which is that for non-vanishing holomorphic functions that map the disk to the disk, the maximum modulus of the nth Taylor coefficient is 2/e. I will discuss the Lei–Zhang theorem, and explain how it relates to the Krzyż conjecture.

The Zoom link will be sent out before the talk and also posted on the website at https://ottermathtalks.github.io/talks/2026-10-16-mccarthy/. Remember to invite your friends and colleagues!

-The OTTER team.

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