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Past events in this series


Mon, 16 Feb 2026
16:00
C5

The Taylor-Wiles patching method and beyond

Simon Alonso
(Imperial College London )
Abstract

In this talk I will give a hopefully not too technical introduction to one of the techniques that allowed Taylor and Wiles to prove the modularity theorem that was the final step for proving Fermat's Last Theorem.
After explaining how the patching works, I will present some generalisations of the method to different contexts. If time permits, I will also briefly explain how patching was used to produce a candidate for the p-adic local Langlands correspondence.