I will introduce the tantalizing problem of giving an automorphic interpretation of Bloch’s Tamagawa number reformulation of Birch-Swinnerton-Dyer, together with some results for the special case of Mordell-Weil rank r=1.
Links:
[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/3444
[3] https://www.mpim-bonn.mpg.de/node/11596