The geometry of transitive sets, with applications to eigenbasis of Cayley graphs

Yufei Zhao (MIT)

29-Apr-2021, 14:00-16:00 (3 years ago)

Abstract: I will discuss some counterintuitive facts and conjectures about the width of a finite transitive subset of a high dimensional sphere (here "transitive" means transitive under the orthogonal group). We were motivated by the question of whether Cayley graphs always have a bounded eigenbasis. I will explain this connection, and mention several open problems.

Based on joint work with Ashwin Sah and Mehtaab Sawhney: arxiv.org/abs/2005.04502 and arxiv.org/abs/2101.11207

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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