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Seminar

MSRI/Pseudorandomness seminar: Lonely runners in function fields April 06, 2017 (03:55 PM PDT - 05:00 PM PDT)
Parent Program:
Location: MSRI: Simons Auditorium
Speaker(s) Luka Rimanic (University of Bristol)
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Abstract/Media

The Lonely Runner Conjecture concerns the following problem. On a unit length circular track one considers k + 1 runners who all start at the same place and at the same time, each runner having a constant speed, with speeds being pairwise distinct. We say that a runner is lonely if all the other runners are of distance at least 1/(k + 1) from the runner. The conjecture ask whether each runner is lonely at some point in time. We will give a survey of results towards the conjecture and present some results concerning the function fields analogue, a joint work with Samuel Chow. 

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