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SUMMARY:Kiseok Yeon (University of California - Davis)
DTSTART:20260718T170000Z
DTEND:20260718T172500Z
DTSTAMP:20260710T111434Z
UID:CANT2026/85
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2026/85/
 ">On the density of rational lines on cubic diagonal hypersurfaces</a>\nby
  Kiseok Yeon (University of California - Davis) as part of Combinatorial a
 nd additive number theory seminar (CANT 2026)\n\nLecture held in Science C
 enter in the CUNY Graduate Center (4th floor).\n\nAbstract\nIn this paper\
 , we establish the asymptotic estimates for the rational lines on diagonal
  cubic hypersurfaces defined by $\\sum_{i=1}^sc_ix^3_i=0$ with $c_i\\in\\m
 athbb{Z}\\setminus \\{0\\}\,$ provided that $s\\geq 18.$ This improves the
  previously known bound $s\\geq 21$ required to obtain such asymptotic est
 imates. Our approach develops a multidimensional shifting variables argume
 nt\, and exploits the recent progress on the Parsell-Vinogradov system. Th
 is talk is based on the speaker’s recent work and a joint work with Pars
 ell.\n
LOCATION:https://researchseminars.org/talk/CANT2026/85/
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