[OTTER] Nov 12 - A Linear Algebra Approach to Maximum Principles

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Nov 6, 2026, 12:38:18 PM (4 days ago) Nov 6

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Thank you for joining us last month for John McCarthy’s fascinating OTTER talk on The Lei-Zhang Entropy Theorem and Krzyż Conjecture! To watch the recorded lecture visit the website at https://ottermathtalks.github.io/talks/2026-10-16-mccarthy/ or the ottermathtalks YouTube channel.

We’re thrilled to announce Michael Hartz’s OTTER talk this November 12 at 10 am Central time (16:00 UTC). The Zoom link will be posted on the website ( https://ottermathtalks.github.io/talks/2026-11-12-hartz/ ) and sent out to the google group a day before the talk.

A linear algebra approach to maximum principles

Abstract: Maximum principles make it possible to bound the values of a certain function by its values on a small subset of its domain. In particular, they occur in potential theory, where one seeks to bound the potential of a measure by its values on the support of the measure. Applications of maximum principles include the characterization of Carleson measures for certain spaces of analytic functions.

I will talk about a new approach to maximum principles in potential theory, connecting them to the linear algebraic notion of copositivity. This is joint work in progress with Nikolaos Chalmoukis.