The q-analogue of almost orthogonal sets

Georgios Petridis (University of Georgia)

23-Sep-2021, 14:15-16:00 (3 years ago)

Abstract: An almost orthogonal set in $\mathbb{R}^d$ is a collection of vectors with the property that among any three distinct elements there is an orthogonal pair. The maximum size of such sets was determined by Rosenfeld, who verified a belief of Erdos. The same question was studied by Ahmadi and Mohammadian in $\mathbb{F}_q^d$. We will present a proof of a conjecture of Ahmadi and Mohammadian and also see how it implies an “almost” analogue of a theorem of Berlekamp on eventowns. Joint work with Ali Mohammadi.

computational geometrydiscrete mathematicscommutative algebracombinatorics

Audience: researchers in the topic


Copenhagen-Jerusalem Combinatorics Seminar

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Organizers: Karim Adiprasito, Arina Voorhaar*
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