Oxford Mathematics Public Lecture - Wednesday 4 June, 5pm, L1
Mathematical models are used to inform decisions across many sectors including climate change, finance, and epidemics. But models are not perfect representations of the real world – they are partial, uncertain and often biased. What, then, does responsible modelling look like? And how can we apply this ethical framework to new AI modelling methods?
The College Store, who sell our stash, including the new Oxford Mathematics Backpack, are running a discount week (a ten day week) from today Friday 23rd May to Sunday 1st June.
Just click here and use the code TRINITY10.
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.