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SUMMARY:Roman Karasev
DTSTART:20220505T141500Z
DTEND:20220505T160000Z
DTSTAMP:20260424T094735Z
UID:CJCS/66
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CJCS/66/">Co
 vering by planks and avoiding zeros of polynomials</a>\nby Roman Karasev a
 s part of Copenhagen-Jerusalem Combinatorics Seminar\n\n\nAbstract\nWe not
 e that the recent polynomial proofs of (particular \ncases of) the spheric
 al and complex plank covering problems by Zhao and \nOrtega-Moreno give so
 me general information on zeros of real and complex \npolynomials restrict
 ed to the unit sphere. After that we establish \npolynomial analogs of the
  Bang theorem by explaining how to find a point \nin the unit ball suffici
 ently far from the zero set of a given \npolynomial. As a corollary of the
 se results\, we establish a conjecture \nof Jiang and Polyanskii about cov
 ering a sphere by spherical segments \ngeneralizing the zone conjecture of
  Fejes Tóth.\n\nJoint work with Alexey Glazyrin and Alexander Polyanskii.
 \n
LOCATION:https://researchseminars.org/talk/CJCS/66/
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