Research report 2021 - Max Planck Institute for Mathematics

Langlands correspondence and p-adic geometry

Hansen, David
Max-Planck-Institut für Mathematik, Bonn
The Langlands correspondence predicts a profound connection between algebra and analysis. This connection is deep and still largely conjectural. However, in recent years there has been exciting new progress toward its resolution, thanks to the introduction of striking new geometric techniques. In this report, I give an impressionistic introduction to the Langlands correspondence, and indicate the ideas behind these recent developments.

For the full text, see the German version.

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