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Langlands and arithmetic

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The Langlands program is a framework for understanding the deep connections between modular forms and arithmetic. Work in the Langlands program is often highly technical, but can have striking applications to number theory, a key example being Wiles’ proof of Fermat’s Last Theorem.

I will explain the basics of the Langlands program and some recent applications to classical problems in number theory which, at first glance, have no relation to modular forms.

A wine reception will be held in the Central Core, CMS after the talk.

All welcome

This talk is part of the CMS Colloquia series.

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