What is the Langlands program?

Photo of Prof. Robert Langlands (IAS, USA). Author: Dr. Jeff Mozzochi (passed copyright for the photo to owner - professor Robert Phelan Langlands
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Photo of Prof. Robert Langlands (IAS, USA). Author: Dr. Jeff Mozzochi (passed copyright for the photo to owner - professor Robert Phelan Langlands
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Enlace a Quantamagazine: What Is the Langlands Program?
Enlace a Wikipedia: Programa de Langlands
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What is the Langlands program?

(From Quantamagazine) The Langlands program provides a beautifully intricate set of connections between various areas of mathematics, pointing the way toward novel solutions for old problems.