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SUMMARY:Yufei Zhao (MIT)
DTSTART:20210429T140000Z
DTEND:20210429T160000Z
DTSTAMP:20260422T070122Z
UID:CJCS/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CJCS/15/">Th
 e geometry of transitive sets\, with applications to eigenbasis of Cayley 
 graphs</a>\nby Yufei Zhao (MIT) as part of Copenhagen-Jerusalem Combinator
 ics Seminar\n\n\nAbstract\nI will discuss some counterintuitive facts and 
 conjectures about the width of a finite transitive subset of a high dimens
 ional sphere (here "transitive" means transitive under the orthogonal grou
 p). We were motivated by the question of whether Cayley graphs always have
  a bounded eigenbasis. I will explain this connection\, and mention severa
 l open problems.\n\nBased on joint work with Ashwin Sah and Mehtaab Sawhne
 y: https://arxiv.org/abs/2005.04502 and https://arxiv.org/abs/2101.11207\n
LOCATION:https://researchseminars.org/talk/CJCS/15/
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