Over five years ago, when the wonderful Vicky Neale instigated and ran the Bulletin, your now self-appointed Song of the Week Editor suggested the odd song or poem to accompany the maths. Those suggestions don't appear in the full Song of the Week list (links now fixed), but to celebrate - or commiserate - Song of the Week at 5, here is the first ever suggestion.
Let Sandy Denny break your heart.
16:00
Refined conjectures of ‘Birch—Swinnerton-Dyer type’ and the theory of Euler systems
Abstract
In the 1980s, Mazur and Tate proposed refinements of the Birch–Swinnerton-Dyer conjecture that also capture congruences between twists of Hasse–Weil L-series by Dirichlet characters. In this talk, I will report on new results towards these refined conjectures, obtained in joint work with Matthew Honnor. I will also outline how the results fit into a more general approach to refined conjectures on special values of L-series via an enhanced theory of Euler systems. This final part will touch upon joint work with David Burns.