Thu, 05 Jun 2025
16:00
Lecture Room 4

Refined conjectures of ‘Birch—Swinnerton-Dyer type’ and the theory of Euler systems

Dominik Bullach
(University College London)
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.

Mike Giles elected Fellow of the Royal Society

Congratulations to Mike. He joins 31 other current and retired members of the department who are FRS.

Mike says, with the help of ChatGPT (humorous version): "Delighted to be elected a Fellow of the Royal Society. I plan to celebrate in the traditional scientific way: mild astonishment, followed by tea."

Full story

Short stories

This week a neuroscientist and a mathematician talk about the challenges of collaboration. Here are Leo and Ramón.

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