[SNU Number Theory Seminar 2 June] A refined Tamagawa number conjecture for modular forms

by qsms posted Apr 20, 2023


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일정시작 2023-06-02
배경색상 #FF5733
  • Date:  June 2 (Fri) 16:00 - 17:00 
  • Place:  27-325 (SNU)

  • Speaker:  Chanho Kim (KIAS)
  • Title:  A refined Tamagawa number conjecture for modular forms
  • Abstract

We discuss an explicit formula for the structure of Bloch–Kato Selmer groups of the central critical twist of modular forms if the analytic rank is ≤ 1 or the Iwasawa main conjecture localized at the augmentation ideal holds. This formula reveals more refined arithmetic information than the p-part of the Tamagawa number conjecture for motives of modular forms and reduces the corresponding Beilinson–Bloch–Kato conjecture to a purely analytic statement. We do not impose any good ordinary or Fontaine–Laffaille assumption.

  • Ref:  https://sites.google.com/view/snunt/seminars








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