Number Theory

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  • Junior number theory seminars
    • Next seminar: 
      Today
      16:00
      Jay Swar
      Abstract

      In 1983, Faltings proved Mordell's conjecture on the finiteness of $K$-points on curves of genus >1 defined over a number field $K$ by proving the finiteness of isomorphism classes of isogenous abelian varieties over $K$. The "first" major step from Mordell's conjecture to what Faltings did came 15 years earlier when Parshin showed that a certain conjecture of Shafarevich would imply Mordell's conjecture. In this talk, I'll focus on motivating and sketching Parshin's argument in an accessible manner and provide some heuristics on how to get from Faltings' finiteness statement to the Shafarevich conjecture.

      The join button will be published on the right (Above the view all button) 30 minutes before the seminar starts (login required).

      • Junior Number Theory Seminar
       

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