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Diophantine Geometry Introductory Workshop: Modularity and Height Bounds

Presenter
February 9, 2023
SLMath
Keywords:
  • modularity
  • elliptic curves
  • height bounds
MSC:
  • 11F11
  • 11G50
  • 11J97
  • 11D41
Diophantine Geometry Introductory Workshop: Modularity and Height Bounds Thumbnail
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Abstract
In this talk I will explain how the modularity of elliptic curves leads to height bounds of different sorts. These have applications in explicit computation of integral points in varieties, and proving unconditional results related to the abc conjecture.
Abstract