The geometry of transitive sets, with applications to eigenbasis of Cayley graphs
Yufei Zhao (MIT)
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
Series comments: There is a mailing list for talk announcements. If you want to receive the announcements, send an e-mail to the organizer to subscribe to the mailing list.
The password for the zoom room is 123456
Organizers: | Karim Adiprasito, Arina Voorhaar* |
*contact for this listing |