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Langlands Program

By Amigos IAS

Why is it in the news?

  • The Langlands Program is a major research program in mathematics that aims to establish deep connections between number theory and representation theory.
  • It was initiated by Dr. Robert Langlands, a mathematician, in 1967 while he was at Princeton University.

 More about the news

  • The program seeks to uncover profound relationships between seemingly unrelated areas of mathematics, particularly algebraic number theory and harmonic analysis.
  • It has had a significant impact on various branches of mathematics, including algebraic geometry, automorphic forms, and more.
  • In 2018, Dr. Robert Langlands was awarded the Abel Prize, one of the most prestigious honours in mathematics, in recognition of his groundbreaking work on the Langlands Program.
  • The comparison of the Langlands Program to “building bridges” reflects its goal of connecting different mathematical theories and concepts, ultimately leading to a deeper understanding of fundamental mathematical structures.
  • The Langlands Program remains an active and ongoing area of research, with mathematicians around the world working on various aspects of the program’s conjectures and ideas.

 

Abel Prize

The Abel Prize was established by the Norwegian Parliament in 2002 and is named after the Norwegian mathematician Niels Henrik Abel. It is awarded annually to outstanding mathematicians for their contributions to the field.

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