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Number Theory Seminar

Diophantine Approximation on Surfaces and Distribution of Integral Points


  • Date : 2024/11/01 (Fri.) 13:30~14:30
  • Location : Seminar Room 617, Institute of Mathematics (NTU Campus)
  • Speaker : Zheng Xiao (Peking University)
  • Host(s) : Julie Tzu-Yueh Wang (AS)
  • Abstract : After Mordell’s conjecture for curves was proved by Faltings, attentions turn to the distribution of rational and integral points on higher dimensional varieties, which is encoded in the celebrated Vojta’s conjecture. Along this line we proved a subspace type inequality, improving the result of Ru-Vojta, on surfaces. Meanwhile, we obtain a sharp criterion of when some certain surfaces admit a non Zariski-dense set of integral points. Joint with Huang, Levin.
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