Covering by planks and avoiding zeros of polynomials

Roman Karasev

05-May-2022, 14:15-16:00 (23 months ago)

Abstract: We note that the recent polynomial proofs of (particular cases of) the spherical and complex plank covering problems by Zhao and Ortega-Moreno give some general information on zeros of real and complex polynomials restricted to the unit sphere. After that we establish polynomial analogs of the Bang theorem by explaining how to find a point in the unit ball sufficiently far from the zero set of a given polynomial. As a corollary of these results, we establish a conjecture of Jiang and Polyanskii about covering a sphere by spherical segments generalizing the zone conjecture of Fejes Tóth.

Joint work with Alexey Glazyrin and Alexander Polyanskii.

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

Export talk to