Formalising modular forms, Eisenstein series and the statement of the modularity conjecture in Lean

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• Dr Chris Birkbeck (University of East Anglia)
• Thursday 27 April 2023, 17:00-18:00
• Centre for Mathematical Sciences MR12, CMS.

If you have a question about this talk, please contact Angeliki Koutsoukou-Argyraki.

I’ll discuss some recent work on defining modular forms and Eisenstein series in LEAN . Modular forms are some of the most important objects in number theory due in part to their role in the proof of Fermat’s Last Theorem. These special functions act as glue between algebra, geometry and analysis, it is therefore tempting to begin formalizing them. Moreover one wants to formalise interesting examples, such as Eisenstein series. In the talk I will discuss the mathematics behind there definitions and highlight the main challenges in formalising them.

This talk is part of the Formalisation of mathematics with interactive theorem provers series.

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