**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