Domes over curves

Igor Pak (UCLA)

Live Stream MPI für Mathematik in den Naturwissenschaften Leipzig (Live Stream)

Abstract

A closed PL-curve is called integral if it is comprised of unit intervals. Kenyon's problem asks whether for every integral curve $γ$ in the $3$ -dimensional euclidean space, there is a dome over $γ$ , i.e. whether $γ$ is a boundary of a polyhedral surface whose faces are equilateral triangles with unit edge lengths. I will survey both positive and negative results on the subject.

Joint work with Alexey Glazyrin.

Links

conference

06.04.21 09.04.21

(Polytop)ics: Recent advances on polytopes (Polytop)ics: Recent advances on polytopes

MPI für Mathematik in den Naturwissenschaften Leipzig Live Stream

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Saskia Gutzschebauch

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Federico Castillo

Max Planck Institute for Mathematics in the Sciences

Giulia Codenotti

Goethe University Frankfurt

Benjamin Schröter

Royal Institute of Technology (KTH)