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UID:a58d86472690d8b8175083d719aaa04f
CATEGORIES:Complex Analysis and Geometry Seminar
CREATED:20260206T215523
SUMMARY:An Explicit Uniform Bound for Rational Points on Curves
LOCATION:https://rutgers.zoom.us/j/93924804346?pwd=bvgNTkrmFHNwFTLLxgtajQw7XYaLNo.1
DESCRIPTION:<p><span data-olk-copy-source="MessageBody" style="font-size: 11pt; font-fa
 mily: Calibri, sans-serif; margin: 0px;">The celebrated Mordell conjecture,
  proved by Faltings, asserts that a curve of genus greater than one over a 
 number field has only finitely many rational points. A deep uniform upper b
 ound on the number of rational points follows from Vojta's inequality and t
 he recent works of Dimitrov-Gao-Habegger and Kühne. In this talk, I will in
 troduce an explicit version of this uniform bound. Our approach relies on a
 nalyzing Arakelov Kähler forms via localization of Bergman kernels. This is
  joint work with Jiawei Yu and Xinyi Yuan.</span></p>
CONTACT:Shengxuan Zhou
DTSTAMP:20260826T201822
DTSTART;TZID=America/New_York:20260213T103000
DTEND;TZID=America/New_York:20260213T113000
SEQUENCE:0
TRANSP:OPAQUE
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